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Finding the Third Proportional to 181,478 and 272,397

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Solution

The third proportional to 181,478 and 272,397 is: 408,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,478 : 272,397 = 272,397 : x
  2. Step 2: Convert to fraction form
    181,478/272,397 = 272,397/x
  3. Step 3: Cross multiply
    181,478x = 272,397 × 272,397
  4. Step 4: Simplify right side
    181,478x = 74,200,125,609
  5. Step 5: Solve for x
    x = 74,200,125,609/181,478
  6. Step 6: Final answer
    x = 408,865.68

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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.