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Finding the Third Proportional to 2,909.29 and 6,279.71

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Solution

The third proportional to 2,909.29 and 6,279.71 is: 13,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.29 : 6,279.71 = 6,279.71 : x
  2. Step 2: Convert to fraction form
    2,909.29/6,279.71 = 6,279.71/x
  3. Step 3: Cross multiply
    2,909.29x = 6,279.71 × 6,279.71
  4. Step 4: Simplify right side
    2,909.29x = 39,434,818.52
  5. Step 5: Solve for x
    x = 39,434,818.52/2,909.29
  6. Step 6: Final answer
    x = 13,554.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.