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Finding the Third Proportional to 57,721 and 86,751

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Solution

The third proportional to 57,721 and 86,751 is: 130,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,721 : 86,751 = 86,751 : x
  2. Step 2: Convert to fraction form
    57,721/86,751 = 86,751/x
  3. Step 3: Cross multiply
    57,721x = 86,751 × 86,751
  4. Step 4: Simplify right side
    57,721x = 7,525,736,001
  5. Step 5: Solve for x
    x = 7,525,736,001/57,721
  6. Step 6: Final answer
    x = 130,381.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.