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Finding the Third Proportional to 181,482 and 272,403

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Solution

The third proportional to 181,482 and 272,403 is: 408,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,482 : 272,403 = 272,403 : x
  2. Step 2: Convert to fraction form
    181,482/272,403 = 272,403/x
  3. Step 3: Cross multiply
    181,482x = 272,403 × 272,403
  4. Step 4: Simplify right side
    181,482x = 74,203,394,409
  5. Step 5: Solve for x
    x = 74,203,394,409/181,482
  6. Step 6: Final answer
    x = 408,874.68

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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.