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Finding the Third Proportional to 57,071 and 85,291

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Solution

The third proportional to 57,071 and 85,291 is: 127,464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,071 : 85,291 = 85,291 : x
  2. Step 2: Convert to fraction form
    57,071/85,291 = 85,291/x
  3. Step 3: Cross multiply
    57,071x = 85,291 × 85,291
  4. Step 4: Simplify right side
    57,071x = 7,274,554,681
  5. Step 5: Solve for x
    x = 7,274,554,681/57,071
  6. Step 6: Final answer
    x = 127,464.99

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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.