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Finding the Third Proportional to 31,174 and 66,725

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Solution

The third proportional to 31,174 and 66,725 is: 142,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174 : 66,725 = 66,725 : x
  2. Step 2: Convert to fraction form
    31,174/66,725 = 66,725/x
  3. Step 3: Cross multiply
    31,174x = 66,725 × 66,725
  4. Step 4: Simplify right side
    31,174x = 4,452,225,625
  5. Step 5: Solve for x
    x = 4,452,225,625/31,174
  6. Step 6: Final answer
    x = 142,818.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.