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Finding the Third Proportional to 15,023 and 31,987

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Solution

The third proportional to 15,023 and 31,987 is: 68,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023 : 31,987 = 31,987 : x
  2. Step 2: Convert to fraction form
    15,023/31,987 = 31,987/x
  3. Step 3: Cross multiply
    15,023x = 31,987 × 31,987
  4. Step 4: Simplify right side
    15,023x = 1,023,168,169
  5. Step 5: Solve for x
    x = 1,023,168,169/15,023
  6. Step 6: Final answer
    x = 68,106.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.