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Finding the Third Proportional to 57,141 and 85,657

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Solution

The third proportional to 57,141 and 85,657 is: 128,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,141 : 85,657 = 85,657 : x
  2. Step 2: Convert to fraction form
    57,141/85,657 = 85,657/x
  3. Step 3: Cross multiply
    57,141x = 85,657 × 85,657
  4. Step 4: Simplify right side
    57,141x = 7,337,121,649
  5. Step 5: Solve for x
    x = 7,337,121,649/57,141
  6. Step 6: Final answer
    x = 128,403.80

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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.