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Finding the Third Proportional to 10,920,100.50 and 23,514,633

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Solution

The third proportional to 10,920,100.50 and 23,514,633 is: 50,634,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920,100.50 : 23,514,633 = 23,514,633 : x
  2. Step 2: Convert to fraction form
    10,920,100.50/23,514,633 = 23,514,633/x
  3. Step 3: Cross multiply
    10,920,100.50x = 23,514,633 × 23,514,633
  4. Step 4: Simplify right side
    10,920,100.50x = 552,937,965,124,689
  5. Step 5: Solve for x
    x = 552,937,965,124,689/10,920,100.50
  6. Step 6: Final answer
    x = 50,634,878.78

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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.