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Finding the Third Proportional to 207,036 and 291,474

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Solution

The third proportional to 207,036 and 291,474 is: 410,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,036 : 291,474 = 291,474 : x
  2. Step 2: Convert to fraction form
    207,036/291,474 = 291,474/x
  3. Step 3: Cross multiply
    207,036x = 291,474 × 291,474
  4. Step 4: Simplify right side
    207,036x = 84,957,092,676
  5. Step 5: Solve for x
    x = 84,957,092,676/207,036
  6. Step 6: Final answer
    x = 410,349.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.