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Finding the Third Proportional to 402,670 and 868,388

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Solution

The third proportional to 402,670 and 868,388 is: 1,872,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,670 : 868,388 = 868,388 : x
  2. Step 2: Convert to fraction form
    402,670/868,388 = 868,388/x
  3. Step 3: Cross multiply
    402,670x = 868,388 × 868,388
  4. Step 4: Simplify right side
    402,670x = 754,097,718,544
  5. Step 5: Solve for x
    x = 754,097,718,544/402,670
  6. Step 6: Final answer
    x = 1,872,743.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.