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Finding the Third Proportional to 129,472,315.50 and 277,412,205

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Solution

The third proportional to 129,472,315.50 and 277,412,205 is: 594,393,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,472,315.50 : 277,412,205 = 277,412,205 : x
  2. Step 2: Convert to fraction form
    129,472,315.50/277,412,205 = 277,412,205/x
  3. Step 3: Cross multiply
    129,472,315.50x = 277,412,205 × 277,412,205
  4. Step 4: Simplify right side
    129,472,315.50x = 76,957,531,482,962,032
  5. Step 5: Solve for x
    x = 76,957,531,482,962,032/129,472,315.50
  6. Step 6: Final answer
    x = 594,393,721.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.