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Finding the Third Proportional to 126,942 and 178,317

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Solution

The third proportional to 126,942 and 178,317 is: 250,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,942 : 178,317 = 178,317 : x
  2. Step 2: Convert to fraction form
    126,942/178,317 = 178,317/x
  3. Step 3: Cross multiply
    126,942x = 178,317 × 178,317
  4. Step 4: Simplify right side
    126,942x = 31,796,952,489
  5. Step 5: Solve for x
    x = 31,796,952,489/126,942
  6. Step 6: Final answer
    x = 250,484.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.