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Finding the Third Proportional to 279.49 and 612.14

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Solution

The third proportional to 279.49 and 612.14 is: 1,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.49 : 612.14 = 612.14 : x
  2. Step 2: Convert to fraction form
    279.49/612.14 = 612.14/x
  3. Step 3: Cross multiply
    279.49x = 612.14 × 612.14
  4. Step 4: Simplify right side
    279.49x = 374,716.14
  5. Step 5: Solve for x
    x = 374,716.14/279.49
  6. Step 6: Final answer
    x = 1,340.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.