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Finding the Third Proportional to 7,278.61 and 11,504.18

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Solution

The third proportional to 7,278.61 and 11,504.18 is: 18,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.61 : 11,504.18 = 11,504.18 : x
  2. Step 2: Convert to fraction form
    7,278.61/11,504.18 = 11,504.18/x
  3. Step 3: Cross multiply
    7,278.61x = 11,504.18 × 11,504.18
  4. Step 4: Simplify right side
    7,278.61x = 132,346,049.17
  5. Step 5: Solve for x
    x = 132,346,049.17/7,278.61
  6. Step 6: Final answer
    x = 18,182.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.