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Finding the Third Proportional to 57,721 and 86,750

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Solution

The third proportional to 57,721 and 86,750 is: 130,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,721 : 86,750 = 86,750 : x
  2. Step 2: Convert to fraction form
    57,721/86,750 = 86,750/x
  3. Step 3: Cross multiply
    57,721x = 86,750 × 86,750
  4. Step 4: Simplify right side
    57,721x = 7,525,562,500
  5. Step 5: Solve for x
    x = 7,525,562,500/57,721
  6. Step 6: Final answer
    x = 130,378.24

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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.