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Finding the Third Proportional to 15,987 and 35,146

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Solution

The third proportional to 15,987 and 35,146 is: 77,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,987 : 35,146 = 35,146 : x
  2. Step 2: Convert to fraction form
    15,987/35,146 = 35,146/x
  3. Step 3: Cross multiply
    15,987x = 35,146 × 35,146
  4. Step 4: Simplify right side
    15,987x = 1,235,241,316
  5. Step 5: Solve for x
    x = 1,235,241,316/15,987
  6. Step 6: Final answer
    x = 77,265.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.