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Finding the Third Proportional to 5,179.78 and 11,308.78

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Solution

The third proportional to 5,179.78 and 11,308.78 is: 24,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.78 : 11,308.78 = 11,308.78 : x
  2. Step 2: Convert to fraction form
    5,179.78/11,308.78 = 11,308.78/x
  3. Step 3: Cross multiply
    5,179.78x = 11,308.78 × 11,308.78
  4. Step 4: Simplify right side
    5,179.78x = 127,888,533.36
  5. Step 5: Solve for x
    x = 127,888,533.36/5,179.78
  6. Step 6: Final answer
    x = 24,689.95

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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.