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Finding the Third Proportional to 407,238 and 868,564

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Solution

The third proportional to 407,238 and 868,564 is: 1,852,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,238 : 868,564 = 868,564 : x
  2. Step 2: Convert to fraction form
    407,238/868,564 = 868,564/x
  3. Step 3: Cross multiply
    407,238x = 868,564 × 868,564
  4. Step 4: Simplify right side
    407,238x = 754,403,422,096
  5. Step 5: Solve for x
    x = 754,403,422,096/407,238
  6. Step 6: Final answer
    x = 1,852,487.79

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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.