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Finding the Third Proportional to 178,474 and 237,939

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Solution

The third proportional to 178,474 and 237,939 is: 317,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,474 : 237,939 = 237,939 : x
  2. Step 2: Convert to fraction form
    178,474/237,939 = 237,939/x
  3. Step 3: Cross multiply
    178,474x = 237,939 × 237,939
  4. Step 4: Simplify right side
    178,474x = 56,614,967,721
  5. Step 5: Solve for x
    x = 56,614,967,721/178,474
  6. Step 6: Final answer
    x = 317,216.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.