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Finding the Third Proportional to 37,122 and 79,987

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Solution

The third proportional to 37,122 and 79,987 is: 172,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,122 : 79,987 = 79,987 : x
  2. Step 2: Convert to fraction form
    37,122/79,987 = 79,987/x
  3. Step 3: Cross multiply
    37,122x = 79,987 × 79,987
  4. Step 4: Simplify right side
    37,122x = 6,397,920,169
  5. Step 5: Solve for x
    x = 6,397,920,169/37,122
  6. Step 6: Final answer
    x = 172,348.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.