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Finding the Third Proportional to 8,959.50 and 19,452.38

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Solution

The third proportional to 8,959.50 and 19,452.38 is: 42,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959.50 : 19,452.38 = 19,452.38 : x
  2. Step 2: Convert to fraction form
    8,959.50/19,452.38 = 19,452.38/x
  3. Step 3: Cross multiply
    8,959.50x = 19,452.38 × 19,452.38
  4. Step 4: Simplify right side
    8,959.50x = 378,394,893.14
  5. Step 5: Solve for x
    x = 378,394,893.14/8,959.50
  6. Step 6: Final answer
    x = 42,233.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.