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Finding the Third Proportional to 4,261.78 and 9,115.88

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Solution

The third proportional to 4,261.78 and 9,115.88 is: 19,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261.78 : 9,115.88 = 9,115.88 : x
  2. Step 2: Convert to fraction form
    4,261.78/9,115.88 = 9,115.88/x
  3. Step 3: Cross multiply
    4,261.78x = 9,115.88 × 9,115.88
  4. Step 4: Simplify right side
    4,261.78x = 83,099,177.02
  5. Step 5: Solve for x
    x = 83,099,177.02/4,261.78
  6. Step 6: Final answer
    x = 19,498.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.