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Finding the Third Proportional to 475,792 and 645,864

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Solution

The third proportional to 475,792 and 645,864 is: 876,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,792 : 645,864 = 645,864 : x
  2. Step 2: Convert to fraction form
    475,792/645,864 = 645,864/x
  3. Step 3: Cross multiply
    475,792x = 645,864 × 645,864
  4. Step 4: Simplify right side
    475,792x = 417,140,306,496
  5. Step 5: Solve for x
    x = 417,140,306,496/475,792
  6. Step 6: Final answer
    x = 876,728.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.