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Finding the Third Proportional to 126,438 and 187,735

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Solution

The third proportional to 126,438 and 187,735 is: 278,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,438 : 187,735 = 187,735 : x
  2. Step 2: Convert to fraction form
    126,438/187,735 = 187,735/x
  3. Step 3: Cross multiply
    126,438x = 187,735 × 187,735
  4. Step 4: Simplify right side
    126,438x = 35,244,430,225
  5. Step 5: Solve for x
    x = 35,244,430,225/126,438
  6. Step 6: Final answer
    x = 278,748.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.