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Finding the Third Proportional to 418.61 and 627.91

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Solution

The third proportional to 418.61 and 627.91 is: 941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.61 : 627.91 = 627.91 : x
  2. Step 2: Convert to fraction form
    418.61/627.91 = 627.91/x
  3. Step 3: Cross multiply
    418.61x = 627.91 × 627.91
  4. Step 4: Simplify right side
    418.61x = 394,268.71
  5. Step 5: Solve for x
    x = 394,268.71/418.61
  6. Step 6: Final answer
    x = 941.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.