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Finding the Third Proportional to 57,259 and 82,471

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Solution

The third proportional to 57,259 and 82,471 is: 118,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,259 : 82,471 = 82,471 : x
  2. Step 2: Convert to fraction form
    57,259/82,471 = 82,471/x
  3. Step 3: Cross multiply
    57,259x = 82,471 × 82,471
  4. Step 4: Simplify right side
    57,259x = 6,801,465,841
  5. Step 5: Solve for x
    x = 6,801,465,841/57,259
  6. Step 6: Final answer
    x = 118,784.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.