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Finding the Third Proportional to 181,402 and 272,800

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Solution

The third proportional to 181,402 and 272,800 is: 410,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,402 : 272,800 = 272,800 : x
  2. Step 2: Convert to fraction form
    181,402/272,800 = 272,800/x
  3. Step 3: Cross multiply
    181,402x = 272,800 × 272,800
  4. Step 4: Simplify right side
    181,402x = 74,419,840,000
  5. Step 5: Solve for x
    x = 74,419,840,000/181,402
  6. Step 6: Final answer
    x = 410,248.18

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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.