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Finding the Third Proportional to 986.91 and 1,528.17

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Solution

The third proportional to 986.91 and 1,528.17 is: 2,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.91 : 1,528.17 = 1,528.17 : x
  2. Step 2: Convert to fraction form
    986.91/1,528.17 = 1,528.17/x
  3. Step 3: Cross multiply
    986.91x = 1,528.17 × 1,528.17
  4. Step 4: Simplify right side
    986.91x = 2,335,309.28
  5. Step 5: Solve for x
    x = 2,335,309.28/986.91
  6. Step 6: Final answer
    x = 2,366.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.