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Finding the Third Proportional to 8,268.33 and 12,478.43

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Solution

The third proportional to 8,268.33 and 12,478.43 is: 18,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.33 : 12,478.43 = 12,478.43 : x
  2. Step 2: Convert to fraction form
    8,268.33/12,478.43 = 12,478.43/x
  3. Step 3: Cross multiply
    8,268.33x = 12,478.43 × 12,478.43
  4. Step 4: Simplify right side
    8,268.33x = 155,711,207.47
  5. Step 5: Solve for x
    x = 155,711,207.47/8,268.33
  6. Step 6: Final answer
    x = 18,832.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.