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Finding the Third Proportional to 57,143 and 85,659

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Solution

The third proportional to 57,143 and 85,659 is: 128,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,143 : 85,659 = 85,659 : x
  2. Step 2: Convert to fraction form
    57,143/85,659 = 85,659/x
  3. Step 3: Cross multiply
    57,143x = 85,659 × 85,659
  4. Step 4: Simplify right side
    57,143x = 7,337,464,281
  5. Step 5: Solve for x
    x = 7,337,464,281/57,143
  6. Step 6: Final answer
    x = 128,405.30

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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.