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Finding the Third Proportional to 4,553.72 and 9,979.45

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Solution

The third proportional to 4,553.72 and 9,979.45 is: 21,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.72 : 9,979.45 = 9,979.45 : x
  2. Step 2: Convert to fraction form
    4,553.72/9,979.45 = 9,979.45/x
  3. Step 3: Cross multiply
    4,553.72x = 9,979.45 × 9,979.45
  4. Step 4: Simplify right side
    4,553.72x = 99,589,484.67
  5. Step 5: Solve for x
    x = 99,589,484.67/4,553.72
  6. Step 6: Final answer
    x = 21,869.92

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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.