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Finding the Third Proportional to 177,833 and 272,670

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Solution

The third proportional to 177,833 and 272,670 is: 418,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,833 : 272,670 = 272,670 : x
  2. Step 2: Convert to fraction form
    177,833/272,670 = 272,670/x
  3. Step 3: Cross multiply
    177,833x = 272,670 × 272,670
  4. Step 4: Simplify right side
    177,833x = 74,348,928,900
  5. Step 5: Solve for x
    x = 74,348,928,900/177,833
  6. Step 6: Final answer
    x = 418,082.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.