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Finding the Third Proportional to 627.91 and 837.74

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Solution

The third proportional to 627.91 and 837.74 is: 1,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.91 : 837.74 = 837.74 : x
  2. Step 2: Convert to fraction form
    627.91/837.74 = 837.74/x
  3. Step 3: Cross multiply
    627.91x = 837.74 × 837.74
  4. Step 4: Simplify right side
    627.91x = 701,816.47
  5. Step 5: Solve for x
    x = 701,816.47/627.91
  6. Step 6: Final answer
    x = 1,117.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.