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Finding the Third Proportional to 2,478.13 and 5,449.16

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Solution

The third proportional to 2,478.13 and 5,449.16 is: 11,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.13 : 5,449.16 = 5,449.16 : x
  2. Step 2: Convert to fraction form
    2,478.13/5,449.16 = 5,449.16/x
  3. Step 3: Cross multiply
    2,478.13x = 5,449.16 × 5,449.16
  4. Step 4: Simplify right side
    2,478.13x = 29,693,303.84
  5. Step 5: Solve for x
    x = 29,693,303.84/2,478.13
  6. Step 6: Final answer
    x = 11,982.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.