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Finding the Third Proportional to 9,490.50 and 17,614.13

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Solution

The third proportional to 9,490.50 and 17,614.13 is: 32,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.50 : 17,614.13 = 17,614.13 : x
  2. Step 2: Convert to fraction form
    9,490.50/17,614.13 = 17,614.13/x
  3. Step 3: Cross multiply
    9,490.50x = 17,614.13 × 17,614.13
  4. Step 4: Simplify right side
    9,490.50x = 310,257,399.52
  5. Step 5: Solve for x
    x = 310,257,399.52/9,490.50
  6. Step 6: Final answer
    x = 32,691.36

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.