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Finding the Third Proportional to 427.13 and 844.31

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Solution

The third proportional to 427.13 and 844.31 is: 1,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.13 : 844.31 = 844.31 : x
  2. Step 2: Convert to fraction form
    427.13/844.31 = 844.31/x
  3. Step 3: Cross multiply
    427.13x = 844.31 × 844.31
  4. Step 4: Simplify right side
    427.13x = 712,863.60
  5. Step 5: Solve for x
    x = 712,863.60/427.13
  6. Step 6: Final answer
    x = 1,668.98

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.