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Finding the Third Proportional to 279.09 and 591.66

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Solution

The third proportional to 279.09 and 591.66 is: 1,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.09 : 591.66 = 591.66 : x
  2. Step 2: Convert to fraction form
    279.09/591.66 = 591.66/x
  3. Step 3: Cross multiply
    279.09x = 591.66 × 591.66
  4. Step 4: Simplify right side
    279.09x = 350,057.12
  5. Step 5: Solve for x
    x = 350,057.12/279.09
  6. Step 6: Final answer
    x = 1,254.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.