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Finding the Third Proportional to 31,972 and 74,677

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Solution

The third proportional to 31,972 and 74,677 is: 174,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,972 : 74,677 = 74,677 : x
  2. Step 2: Convert to fraction form
    31,972/74,677 = 74,677/x
  3. Step 3: Cross multiply
    31,972x = 74,677 × 74,677
  4. Step 4: Simplify right side
    31,972x = 5,576,654,329
  5. Step 5: Solve for x
    x = 5,576,654,329/31,972
  6. Step 6: Final answer
    x = 174,423.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.