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Finding the Third Proportional to 7,842.45 and 16,778.39

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Solution

The third proportional to 7,842.45 and 16,778.39 is: 35,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.45 : 16,778.39 = 16,778.39 : x
  2. Step 2: Convert to fraction form
    7,842.45/16,778.39 = 16,778.39/x
  3. Step 3: Cross multiply
    7,842.45x = 16,778.39 × 16,778.39
  4. Step 4: Simplify right side
    7,842.45x = 281,514,391.97
  5. Step 5: Solve for x
    x = 281,514,391.97/7,842.45
  6. Step 6: Final answer
    x = 35,896.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.