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Finding the Third Proportional to 472,583,514,121.50 and 1,016,843,044,710

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Solution

The third proportional to 472,583,514,121.50 and 1,016,843,044,710 is: 2,187,909,113,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,583,514,121.50 : 1,016,843,044,710 = 1,016,843,044,710 : x
  2. Step 2: Convert to fraction form
    472,583,514,121.50/1,016,843,044,710 = 1,016,843,044,710/x
  3. Step 3: Cross multiply
    472,583,514,121.50x = 1,016,843,044,710 × 1,016,843,044,710
  4. Step 4: Simplify right side
    472,583,514,121.50x = 1,033,969,777,575,103,039,537,152
  5. Step 5: Solve for x
    x = 1,033,969,777,575,103,039,537,152/472,583,514,121.50
  6. Step 6: Final answer
    x = 2,187,909,113,793.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.