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Finding the Third Proportional to 2,979.84 and 4,418.86

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Solution

The third proportional to 2,979.84 and 4,418.86 is: 6,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.84 : 4,418.86 = 4,418.86 : x
  2. Step 2: Convert to fraction form
    2,979.84/4,418.86 = 4,418.86/x
  3. Step 3: Cross multiply
    2,979.84x = 4,418.86 × 4,418.86
  4. Step 4: Simplify right side
    2,979.84x = 19,526,318.18
  5. Step 5: Solve for x
    x = 19,526,318.18/2,979.84
  6. Step 6: Final answer
    x = 6,552.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.