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Finding the Third Proportional to 3,959.90 and 9,207.78

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Solution

The third proportional to 3,959.90 and 9,207.78 is: 21,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.90 : 9,207.78 = 9,207.78 : x
  2. Step 2: Convert to fraction form
    3,959.90/9,207.78 = 9,207.78/x
  3. Step 3: Cross multiply
    3,959.90x = 9,207.78 × 9,207.78
  4. Step 4: Simplify right side
    3,959.90x = 84,783,172.60
  5. Step 5: Solve for x
    x = 84,783,172.60/3,959.90
  6. Step 6: Final answer
    x = 21,410.41

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.