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Finding the Third Proportional to 627.12 and 1,116.91

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Solution

The third proportional to 627.12 and 1,116.91 is: 1,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.12 : 1,116.91 = 1,116.91 : x
  2. Step 2: Convert to fraction form
    627.12/1,116.91 = 1,116.91/x
  3. Step 3: Cross multiply
    627.12x = 1,116.91 × 1,116.91
  4. Step 4: Simplify right side
    627.12x = 1,247,497.02
  5. Step 5: Solve for x
    x = 1,247,497.02/627.12
  6. Step 6: Final answer
    x = 1,989.26

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.