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Finding the Third Proportional to 294.38 and 627.84

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Solution

The third proportional to 294.38 and 627.84 is: 1,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.38 : 627.84 = 627.84 : x
  2. Step 2: Convert to fraction form
    294.38/627.84 = 627.84/x
  3. Step 3: Cross multiply
    294.38x = 627.84 × 627.84
  4. Step 4: Simplify right side
    294.38x = 394,187.77
  5. Step 5: Solve for x
    x = 394,187.77/294.38
  6. Step 6: Final answer
    x = 1,339.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.