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Finding the Third Proportional to 83,746,690 and 126,039,363

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Solution

The third proportional to 83,746,690 and 126,039,363 is: 189,690,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,746,690 : 126,039,363 = 126,039,363 : x
  2. Step 2: Convert to fraction form
    83,746,690/126,039,363 = 126,039,363/x
  3. Step 3: Cross multiply
    83,746,690x = 126,039,363 × 126,039,363
  4. Step 4: Simplify right side
    83,746,690x = 15,885,921,025,445,768
  5. Step 5: Solve for x
    x = 15,885,921,025,445,768/83,746,690
  6. Step 6: Final answer
    x = 189,690,136.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.