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Finding the Third Proportional to 230,989 and 345,542

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Solution

The third proportional to 230,989 and 345,542 is: 516,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,989 : 345,542 = 345,542 : x
  2. Step 2: Convert to fraction form
    230,989/345,542 = 345,542/x
  3. Step 3: Cross multiply
    230,989x = 345,542 × 345,542
  4. Step 4: Simplify right side
    230,989x = 119,399,273,764
  5. Step 5: Solve for x
    x = 119,399,273,764/230,989
  6. Step 6: Final answer
    x = 516,904.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.