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Finding the Third Proportional to 57,157 and 84,909

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Solution

The third proportional to 57,157 and 84,909 is: 126,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,157 : 84,909 = 84,909 : x
  2. Step 2: Convert to fraction form
    57,157/84,909 = 84,909/x
  3. Step 3: Cross multiply
    57,157x = 84,909 × 84,909
  4. Step 4: Simplify right side
    57,157x = 7,209,538,281
  5. Step 5: Solve for x
    x = 7,209,538,281/57,157
  6. Step 6: Final answer
    x = 126,135.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.