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Finding the Third Proportional to 7,842.75 and 12,240.38

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Solution

The third proportional to 7,842.75 and 12,240.38 is: 19,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.75 : 12,240.38 = 12,240.38 : x
  2. Step 2: Convert to fraction form
    7,842.75/12,240.38 = 12,240.38/x
  3. Step 3: Cross multiply
    7,842.75x = 12,240.38 × 12,240.38
  4. Step 4: Simplify right side
    7,842.75x = 149,826,780.14
  5. Step 5: Solve for x
    x = 149,826,780.14/7,842.75
  6. Step 6: Final answer
    x = 19,103.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.