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Finding the Third Proportional to 57,864 and 90,179

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Solution

The third proportional to 57,864 and 90,179 is: 140,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,864 : 90,179 = 90,179 : x
  2. Step 2: Convert to fraction form
    57,864/90,179 = 90,179/x
  3. Step 3: Cross multiply
    57,864x = 90,179 × 90,179
  4. Step 4: Simplify right side
    57,864x = 8,132,252,041
  5. Step 5: Solve for x
    x = 8,132,252,041/57,864
  6. Step 6: Final answer
    x = 140,540.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.