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Finding the Third Proportional to 31,515 and 66,471

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Solution

The third proportional to 31,515 and 66,471 is: 140,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,515 : 66,471 = 66,471 : x
  2. Step 2: Convert to fraction form
    31,515/66,471 = 66,471/x
  3. Step 3: Cross multiply
    31,515x = 66,471 × 66,471
  4. Step 4: Simplify right side
    31,515x = 4,418,393,841
  5. Step 5: Solve for x
    x = 4,418,393,841/31,515
  6. Step 6: Final answer
    x = 140,199.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.