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Finding the Third Proportional to 238,719.38 and 345,229.88

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Solution

The third proportional to 238,719.38 and 345,229.88 is: 499,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,719.38 : 345,229.88 = 345,229.88 : x
  2. Step 2: Convert to fraction form
    238,719.38/345,229.88 = 345,229.88/x
  3. Step 3: Cross multiply
    238,719.38x = 345,229.88 × 345,229.88
  4. Step 4: Simplify right side
    238,719.38x = 119,183,666,592.52
  5. Step 5: Solve for x
    x = 119,183,666,592.52/238,719.38
  6. Step 6: Final answer
    x = 499,262.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.