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Finding the Third Proportional to 5,940.38 and 9,239.06

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Solution

The third proportional to 5,940.38 and 9,239.06 is: 14,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.38 : 9,239.06 = 9,239.06 : x
  2. Step 2: Convert to fraction form
    5,940.38/9,239.06 = 9,239.06/x
  3. Step 3: Cross multiply
    5,940.38x = 9,239.06 × 9,239.06
  4. Step 4: Simplify right side
    5,940.38x = 85,360,275.88
  5. Step 5: Solve for x
    x = 85,360,275.88/5,940.38
  6. Step 6: Final answer
    x = 14,369.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.