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Finding the Third Proportional to 90,157 and 140,339

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Solution

The third proportional to 90,157 and 140,339 is: 218,452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,157 : 140,339 = 140,339 : x
  2. Step 2: Convert to fraction form
    90,157/140,339 = 140,339/x
  3. Step 3: Cross multiply
    90,157x = 140,339 × 140,339
  4. Step 4: Simplify right side
    90,157x = 19,695,034,921
  5. Step 5: Solve for x
    x = 19,695,034,921/90,157
  6. Step 6: Final answer
    x = 218,452.64

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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.