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Finding the Third Proportional to 4,005.28 and 8,472.09

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Solution

The third proportional to 4,005.28 and 8,472.09 is: 17,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.28 : 8,472.09 = 8,472.09 : x
  2. Step 2: Convert to fraction form
    4,005.28/8,472.09 = 8,472.09/x
  3. Step 3: Cross multiply
    4,005.28x = 8,472.09 × 8,472.09
  4. Step 4: Simplify right side
    4,005.28x = 71,776,372.51
  5. Step 5: Solve for x
    x = 71,776,372.51/4,005.28
  6. Step 6: Final answer
    x = 17,920.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.