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Finding the Third Proportional to 986 and 1,581

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Solution

The third proportional to 986 and 1,581 is: 2,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    986 : 1,581 = 1,581 : x
  2. Step 2: Convert to fraction form
    986/1,581 = 1,581/x
  3. Step 3: Cross multiply
    986x = 1,581 × 1,581
  4. Step 4: Simplify right side
    986x = 2,499,561
  5. Step 5: Solve for x
    x = 2,499,561/986
  6. Step 6: Final answer
    x = 2,535.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.