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Finding the Third Proportional to 181,520 and 272,464

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Solution

The third proportional to 181,520 and 272,464 is: 408,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,520 : 272,464 = 272,464 : x
  2. Step 2: Convert to fraction form
    181,520/272,464 = 272,464/x
  3. Step 3: Cross multiply
    181,520x = 272,464 × 272,464
  4. Step 4: Simplify right side
    181,520x = 74,236,631,296
  5. Step 5: Solve for x
    x = 74,236,631,296/181,520
  6. Step 6: Final answer
    x = 408,972.19

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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.