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Finding the Third Proportional to 138,737.81 and 187,466.91

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Solution

The third proportional to 138,737.81 and 187,466.91 is: 253,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,737.81 : 187,466.91 = 187,466.91 : x
  2. Step 2: Convert to fraction form
    138,737.81/187,466.91 = 187,466.91/x
  3. Step 3: Cross multiply
    138,737.81x = 187,466.91 × 187,466.91
  4. Step 4: Simplify right side
    138,737.81x = 35,143,840,938.95
  5. Step 5: Solve for x
    x = 35,143,840,938.95/138,737.81
  6. Step 6: Final answer
    x = 253,311.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.