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Finding the Third Proportional to 627.91 and 1,371.15

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Solution

The third proportional to 627.91 and 1,371.15 is: 2,994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.91 : 1,371.15 = 1,371.15 : x
  2. Step 2: Convert to fraction form
    627.91/1,371.15 = 1,371.15/x
  3. Step 3: Cross multiply
    627.91x = 1,371.15 × 1,371.15
  4. Step 4: Simplify right side
    627.91x = 1,880,042.68
  5. Step 5: Solve for x
    x = 1,880,042.68/627.91
  6. Step 6: Final answer
    x = 2,994.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.