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Finding the Third Proportional to 156,942 and 239,517

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Solution

The third proportional to 156,942 and 239,517 is: 365,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,942 : 239,517 = 239,517 : x
  2. Step 2: Convert to fraction form
    156,942/239,517 = 239,517/x
  3. Step 3: Cross multiply
    156,942x = 239,517 × 239,517
  4. Step 4: Simplify right side
    156,942x = 57,368,393,289
  5. Step 5: Solve for x
    x = 57,368,393,289/156,942
  6. Step 6: Final answer
    x = 365,538.82

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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.