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Finding the Third Proportional to 57,638 and 86,091

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Solution

The third proportional to 57,638 and 86,091 is: 128,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,638 : 86,091 = 86,091 : x
  2. Step 2: Convert to fraction form
    57,638/86,091 = 86,091/x
  3. Step 3: Cross multiply
    57,638x = 86,091 × 86,091
  4. Step 4: Simplify right side
    57,638x = 7,411,660,281
  5. Step 5: Solve for x
    x = 7,411,660,281/57,638
  6. Step 6: Final answer
    x = 128,589.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.