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Finding the Third Proportional to 7,717.78 and 15,982.31

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Solution

The third proportional to 7,717.78 and 15,982.31 is: 33,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.78 : 15,982.31 = 15,982.31 : x
  2. Step 2: Convert to fraction form
    7,717.78/15,982.31 = 15,982.31/x
  3. Step 3: Cross multiply
    7,717.78x = 15,982.31 × 15,982.31
  4. Step 4: Simplify right side
    7,717.78x = 255,434,312.85
  5. Step 5: Solve for x
    x = 255,434,312.85/7,717.78
  6. Step 6: Final answer
    x = 33,096.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.