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Finding the Third Proportional to 81,240.75 and 125,548.88

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Solution

The third proportional to 81,240.75 and 125,548.88 is: 194,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,240.75 : 125,548.88 = 125,548.88 : x
  2. Step 2: Convert to fraction form
    81,240.75/125,548.88 = 125,548.88/x
  3. Step 3: Cross multiply
    81,240.75x = 125,548.88 × 125,548.88
  4. Step 4: Simplify right side
    81,240.75x = 15,762,520,013.77
  5. Step 5: Solve for x
    x = 15,762,520,013.77/81,240.75
  6. Step 6: Final answer
    x = 194,022.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.