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Finding the Third Proportional to 57,864 and 77,400

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Solution

The third proportional to 57,864 and 77,400 is: 103,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,864 : 77,400 = 77,400 : x
  2. Step 2: Convert to fraction form
    57,864/77,400 = 77,400/x
  3. Step 3: Cross multiply
    57,864x = 77,400 × 77,400
  4. Step 4: Simplify right side
    57,864x = 5,990,760,000
  5. Step 5: Solve for x
    x = 5,990,760,000/57,864
  6. Step 6: Final answer
    x = 103,531.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.