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Finding the Third Proportional to 5,638.23 and 7,882.58

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Solution

The third proportional to 5,638.23 and 7,882.58 is: 11,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.23 : 7,882.58 = 7,882.58 : x
  2. Step 2: Convert to fraction form
    5,638.23/7,882.58 = 7,882.58/x
  3. Step 3: Cross multiply
    5,638.23x = 7,882.58 × 7,882.58
  4. Step 4: Simplify right side
    5,638.23x = 62,135,099.48
  5. Step 5: Solve for x
    x = 62,135,099.48/5,638.23
  6. Step 6: Final answer
    x = 11,020.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.