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Finding the Third Proportional to 407,208 and 868,498

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Solution

The third proportional to 407,208 and 868,498 is: 1,852,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,208 : 868,498 = 868,498 : x
  2. Step 2: Convert to fraction form
    407,208/868,498 = 868,498/x
  3. Step 3: Cross multiply
    407,208x = 868,498 × 868,498
  4. Step 4: Simplify right side
    407,208x = 754,288,776,004
  5. Step 5: Solve for x
    x = 754,288,776,004/407,208
  6. Step 6: Final answer
    x = 1,852,342.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.