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Finding the Third Proportional to 181,766 and 272,811

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Solution

The third proportional to 181,766 and 272,811 is: 409,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,766 : 272,811 = 272,811 : x
  2. Step 2: Convert to fraction form
    181,766/272,811 = 272,811/x
  3. Step 3: Cross multiply
    181,766x = 272,811 × 272,811
  4. Step 4: Simplify right side
    181,766x = 74,425,841,721
  5. Step 5: Solve for x
    x = 74,425,841,721/181,766
  6. Step 6: Final answer
    x = 409,459.64

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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.