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Finding the Third Proportional to 407,970 and 587,691

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Solution

The third proportional to 407,970 and 587,691 is: 846,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,970 : 587,691 = 587,691 : x
  2. Step 2: Convert to fraction form
    407,970/587,691 = 587,691/x
  3. Step 3: Cross multiply
    407,970x = 587,691 × 587,691
  4. Step 4: Simplify right side
    407,970x = 345,380,711,481
  5. Step 5: Solve for x
    x = 345,380,711,481/407,970
  6. Step 6: Final answer
    x = 846,583.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.