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Finding the Third Proportional to 4,932.56 and 10,769.06

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Solution

The third proportional to 4,932.56 and 10,769.06 is: 23,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.56 : 10,769.06 = 10,769.06 : x
  2. Step 2: Convert to fraction form
    4,932.56/10,769.06 = 10,769.06/x
  3. Step 3: Cross multiply
    4,932.56x = 10,769.06 × 10,769.06
  4. Step 4: Simplify right side
    4,932.56x = 115,972,707.13
  5. Step 5: Solve for x
    x = 115,972,707.13/4,932.56
  6. Step 6: Final answer
    x = 23,511.65

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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.