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Finding the Third Proportional to 4,952.44 and 10,876.88

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Solution

The third proportional to 4,952.44 and 10,876.88 is: 23,888.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.44 : 10,876.88 = 10,876.88 : x
  2. Step 2: Convert to fraction form
    4,952.44/10,876.88 = 10,876.88/x
  3. Step 3: Cross multiply
    4,952.44x = 10,876.88 × 10,876.88
  4. Step 4: Simplify right side
    4,952.44x = 118,306,409.77
  5. Step 5: Solve for x
    x = 118,306,409.77/4,952.44
  6. Step 6: Final answer
    x = 23,888.52

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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.