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Finding the Third Proportional to 71,120 and 107,128

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Solution

The third proportional to 71,120 and 107,128 is: 161,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,120 : 107,128 = 107,128 : x
  2. Step 2: Convert to fraction form
    71,120/107,128 = 107,128/x
  3. Step 3: Cross multiply
    71,120x = 107,128 × 107,128
  4. Step 4: Simplify right side
    71,120x = 11,476,408,384
  5. Step 5: Solve for x
    x = 11,476,408,384/71,120
  6. Step 6: Final answer
    x = 161,366.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.