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Finding the Third Proportional to 57,712 and 86,949

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Solution

The third proportional to 57,712 and 86,949 is: 130,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,712 : 86,949 = 86,949 : x
  2. Step 2: Convert to fraction form
    57,712/86,949 = 86,949/x
  3. Step 3: Cross multiply
    57,712x = 86,949 × 86,949
  4. Step 4: Simplify right side
    57,712x = 7,560,128,601
  5. Step 5: Solve for x
    x = 7,560,128,601/57,712
  6. Step 6: Final answer
    x = 130,997.52

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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.