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Finding the Third Proportional to 4,505.62 and 9,879.14

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Solution

The third proportional to 4,505.62 and 9,879.14 is: 21,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.62 : 9,879.14 = 9,879.14 : x
  2. Step 2: Convert to fraction form
    4,505.62/9,879.14 = 9,879.14/x
  3. Step 3: Cross multiply
    4,505.62x = 9,879.14 × 9,879.14
  4. Step 4: Simplify right side
    4,505.62x = 97,597,455.67
  5. Step 5: Solve for x
    x = 97,597,455.67/4,505.62
  6. Step 6: Final answer
    x = 21,661.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.