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Finding the Third Proportional to 20,987 and 45,625

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Solution

The third proportional to 20,987 and 45,625 is: 99,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,987 : 45,625 = 45,625 : x
  2. Step 2: Convert to fraction form
    20,987/45,625 = 45,625/x
  3. Step 3: Cross multiply
    20,987x = 45,625 × 45,625
  4. Step 4: Simplify right side
    20,987x = 2,081,640,625
  5. Step 5: Solve for x
    x = 2,081,640,625/20,987
  6. Step 6: Final answer
    x = 99,187.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.