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Finding the Third Proportional to 2,879.72 and 4,342.78

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Solution

The third proportional to 2,879.72 and 4,342.78 is: 6,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.72 : 4,342.78 = 4,342.78 : x
  2. Step 2: Convert to fraction form
    2,879.72/4,342.78 = 4,342.78/x
  3. Step 3: Cross multiply
    2,879.72x = 4,342.78 × 4,342.78
  4. Step 4: Simplify right side
    2,879.72x = 18,859,748.99
  5. Step 5: Solve for x
    x = 18,859,748.99/2,879.72
  6. Step 6: Final answer
    x = 6,549.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.