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Finding the Third Proportional to 31,649 and 74,694

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Solution

The third proportional to 31,649 and 74,694 is: 176,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649 : 74,694 = 74,694 : x
  2. Step 2: Convert to fraction form
    31,649/74,694 = 74,694/x
  3. Step 3: Cross multiply
    31,649x = 74,694 × 74,694
  4. Step 4: Simplify right side
    31,649x = 5,579,193,636
  5. Step 5: Solve for x
    x = 5,579,193,636/31,649
  6. Step 6: Final answer
    x = 176,283.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.