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Finding the Third Proportional to 60,921 and 91,381

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Solution

The third proportional to 60,921 and 91,381 is: 137,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,921 : 91,381 = 91,381 : x
  2. Step 2: Convert to fraction form
    60,921/91,381 = 91,381/x
  3. Step 3: Cross multiply
    60,921x = 91,381 × 91,381
  4. Step 4: Simplify right side
    60,921x = 8,350,487,161
  5. Step 5: Solve for x
    x = 8,350,487,161/60,921
  6. Step 6: Final answer
    x = 137,070.75

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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.