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Finding the Third Proportional to 7,833.38 and 12,135.19

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Solution

The third proportional to 7,833.38 and 12,135.19 is: 18,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.38 : 12,135.19 = 12,135.19 : x
  2. Step 2: Convert to fraction form
    7,833.38/12,135.19 = 12,135.19/x
  3. Step 3: Cross multiply
    7,833.38x = 12,135.19 × 12,135.19
  4. Step 4: Simplify right side
    7,833.38x = 147,262,775.66
  5. Step 5: Solve for x
    x = 147,262,775.66/7,833.38
  6. Step 6: Final answer
    x = 18,799.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.