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Finding the Third Proportional to 57,142 and 85,658

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Solution

The third proportional to 57,142 and 85,658 is: 128,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,142 : 85,658 = 85,658 : x
  2. Step 2: Convert to fraction form
    57,142/85,658 = 85,658/x
  3. Step 3: Cross multiply
    57,142x = 85,658 × 85,658
  4. Step 4: Simplify right side
    57,142x = 7,337,292,964
  5. Step 5: Solve for x
    x = 7,337,292,964/57,142
  6. Step 6: Final answer
    x = 128,404.55

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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.