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Finding the Third Proportional to 138,601.13 and 156,370.50

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Solution

The third proportional to 138,601.13 and 156,370.50 is: 176,418

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,601.13 : 156,370.50 = 156,370.50 : x
  2. Step 2: Convert to fraction form
    138,601.13/156,370.50 = 156,370.50/x
  3. Step 3: Cross multiply
    138,601.13x = 156,370.50 × 156,370.50
  4. Step 4: Simplify right side
    138,601.13x = 24,451,733,270.25
  5. Step 5: Solve for x
    x = 24,451,733,270.25/138,601.13
  6. Step 6: Final answer
    x = 176,418

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.