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Finding the Third Proportional to 153,909 and 231,309

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Solution

The third proportional to 153,909 and 231,309 is: 347,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,909 : 231,309 = 231,309 : x
  2. Step 2: Convert to fraction form
    153,909/231,309 = 231,309/x
  3. Step 3: Cross multiply
    153,909x = 231,309 × 231,309
  4. Step 4: Simplify right side
    153,909x = 53,503,853,481
  5. Step 5: Solve for x
    x = 53,503,853,481/153,909
  6. Step 6: Final answer
    x = 347,633.04

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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.