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Finding the Third Proportional to 90,560 and 125,128

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Solution

The third proportional to 90,560 and 125,128 is: 172,891.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,560 : 125,128 = 125,128 : x
  2. Step 2: Convert to fraction form
    90,560/125,128 = 125,128/x
  3. Step 3: Cross multiply
    90,560x = 125,128 × 125,128
  4. Step 4: Simplify right side
    90,560x = 15,657,016,384
  5. Step 5: Solve for x
    x = 15,657,016,384/90,560
  6. Step 6: Final answer
    x = 172,891.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.