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Finding the Third Proportional to 2,878.98 and 6,279.08

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Solution

The third proportional to 2,878.98 and 6,279.08 is: 13,694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.98 : 6,279.08 = 6,279.08 : x
  2. Step 2: Convert to fraction form
    2,878.98/6,279.08 = 6,279.08/x
  3. Step 3: Cross multiply
    2,878.98x = 6,279.08 × 6,279.08
  4. Step 4: Simplify right side
    2,878.98x = 39,426,871.16
  5. Step 5: Solve for x
    x = 39,426,871.16/2,878.98
  6. Step 6: Final answer
    x = 13,694.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.