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Finding the Third Proportional to 153,969 and 230,331

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Solution

The third proportional to 153,969 and 230,331 is: 344,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,969 : 230,331 = 230,331 : x
  2. Step 2: Convert to fraction form
    153,969/230,331 = 230,331/x
  3. Step 3: Cross multiply
    153,969x = 230,331 × 230,331
  4. Step 4: Simplify right side
    153,969x = 53,052,369,561
  5. Step 5: Solve for x
    x = 53,052,369,561/153,969
  6. Step 6: Final answer
    x = 344,565.27

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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.