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Finding the Third Proportional to 57,057 and 85,761

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Solution

The third proportional to 57,057 and 85,761 is: 128,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057 : 85,761 = 85,761 : x
  2. Step 2: Convert to fraction form
    57,057/85,761 = 85,761/x
  3. Step 3: Cross multiply
    57,057x = 85,761 × 85,761
  4. Step 4: Simplify right side
    57,057x = 7,354,949,121
  5. Step 5: Solve for x
    x = 7,354,949,121/57,057
  6. Step 6: Final answer
    x = 128,905.29

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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.