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Finding the Third Proportional to 399,696 and 865,792

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Solution

The third proportional to 399,696 and 865,792 is: 1,875,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,696 : 865,792 = 865,792 : x
  2. Step 2: Convert to fraction form
    399,696/865,792 = 865,792/x
  3. Step 3: Cross multiply
    399,696x = 865,792 × 865,792
  4. Step 4: Simplify right side
    399,696x = 749,595,787,264
  5. Step 5: Solve for x
    x = 749,595,787,264/399,696
  6. Step 6: Final answer
    x = 1,875,414.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.