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Finding the Third Proportional to 57,132 and 121,500

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Solution

The third proportional to 57,132 and 121,500 is: 258,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,132 : 121,500 = 121,500 : x
  2. Step 2: Convert to fraction form
    57,132/121,500 = 121,500/x
  3. Step 3: Cross multiply
    57,132x = 121,500 × 121,500
  4. Step 4: Simplify right side
    57,132x = 14,762,250,000
  5. Step 5: Solve for x
    x = 14,762,250,000/57,132
  6. Step 6: Final answer
    x = 258,388.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.