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Finding the Third Proportional to 312,636,942 and 459,861,822

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Solution

The third proportional to 312,636,942 and 459,861,822 is: 676,416,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,636,942 : 459,861,822 = 459,861,822 : x
  2. Step 2: Convert to fraction form
    312,636,942/459,861,822 = 459,861,822/x
  3. Step 3: Cross multiply
    312,636,942x = 459,861,822 × 459,861,822
  4. Step 4: Simplify right side
    312,636,942x = 211,472,895,333,159,680
  5. Step 5: Solve for x
    x = 211,472,895,333,159,680/312,636,942
  6. Step 6: Final answer
    x = 676,416,849.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.