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Finding the Third Proportional to 18,992 and 28,382

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Solution

The third proportional to 18,992 and 28,382 is: 42,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,992 : 28,382 = 28,382 : x
  2. Step 2: Convert to fraction form
    18,992/28,382 = 28,382/x
  3. Step 3: Cross multiply
    18,992x = 28,382 × 28,382
  4. Step 4: Simplify right side
    18,992x = 805,537,924
  5. Step 5: Solve for x
    x = 805,537,924/18,992
  6. Step 6: Final answer
    x = 42,414.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.