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Finding the Third Proportional to 3,249 and 7,666.88

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Solution

The third proportional to 3,249 and 7,666.88 is: 18,092.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249 : 7,666.88 = 7,666.88 : x
  2. Step 2: Convert to fraction form
    3,249/7,666.88 = 7,666.88/x
  3. Step 3: Cross multiply
    3,249x = 7,666.88 × 7,666.88
  4. Step 4: Simplify right side
    3,249x = 58,780,972.27
  5. Step 5: Solve for x
    x = 58,780,972.27/3,249
  6. Step 6: Final answer
    x = 18,092.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.