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Finding the Third Proportional to 427.13 and 679.31

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Solution

The third proportional to 427.13 and 679.31 is: 1,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.13 : 679.31 = 679.31 : x
  2. Step 2: Convert to fraction form
    427.13/679.31 = 679.31/x
  3. Step 3: Cross multiply
    427.13x = 679.31 × 679.31
  4. Step 4: Simplify right side
    427.13x = 461,465.47
  5. Step 5: Solve for x
    x = 461,465.47/427.13
  6. Step 6: Final answer
    x = 1,080.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.