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Finding the Third Proportional to 279.88 and 410.19

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Solution

The third proportional to 279.88 and 410.19 is: 601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.88 : 410.19 = 410.19 : x
  2. Step 2: Convert to fraction form
    279.88/410.19 = 410.19/x
  3. Step 3: Cross multiply
    279.88x = 410.19 × 410.19
  4. Step 4: Simplify right side
    279.88x = 168,253.79
  5. Step 5: Solve for x
    x = 168,253.79/279.88
  6. Step 6: Final answer
    x = 601.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.