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Finding the Third Proportional to 87,911 and 193,750

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Solution

The third proportional to 87,911 and 193,750 is: 427,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,911 : 193,750 = 193,750 : x
  2. Step 2: Convert to fraction form
    87,911/193,750 = 193,750/x
  3. Step 3: Cross multiply
    87,911x = 193,750 × 193,750
  4. Step 4: Simplify right side
    87,911x = 37,539,062,500
  5. Step 5: Solve for x
    x = 37,539,062,500/87,911
  6. Step 6: Final answer
    x = 427,012.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.