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Finding the Third Proportional to 31,990 and 74,368

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Solution

The third proportional to 31,990 and 74,368 is: 172,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990 : 74,368 = 74,368 : x
  2. Step 2: Convert to fraction form
    31,990/74,368 = 74,368/x
  3. Step 3: Cross multiply
    31,990x = 74,368 × 74,368
  4. Step 4: Simplify right side
    31,990x = 5,530,599,424
  5. Step 5: Solve for x
    x = 5,530,599,424/31,990
  6. Step 6: Final answer
    x = 172,885.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.