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Finding the Third Proportional to 7,663.99 and 17,121.69

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Solution

The third proportional to 7,663.99 and 17,121.69 is: 38,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.99 : 17,121.69 = 17,121.69 : x
  2. Step 2: Convert to fraction form
    7,663.99/17,121.69 = 17,121.69/x
  3. Step 3: Cross multiply
    7,663.99x = 17,121.69 × 17,121.69
  4. Step 4: Simplify right side
    7,663.99x = 293,152,316.61
  5. Step 5: Solve for x
    x = 293,152,316.61/7,663.99
  6. Step 6: Final answer
    x = 38,250.60

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.