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Finding the Third Proportional to 627.33 and 1,355.91

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Solution

The third proportional to 627.33 and 1,355.91 is: 2,930.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.33 : 1,355.91 = 1,355.91 : x
  2. Step 2: Convert to fraction form
    627.33/1,355.91 = 1,355.91/x
  3. Step 3: Cross multiply
    627.33x = 1,355.91 × 1,355.91
  4. Step 4: Simplify right side
    627.33x = 1,838,481.76
  5. Step 5: Solve for x
    x = 1,838,481.76/627.33
  6. Step 6: Final answer
    x = 2,930.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.