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Finding the Third Proportional to 31,240.69 and 67,326.19

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Solution

The third proportional to 31,240.69 and 67,326.19 is: 145,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,240.69 : 67,326.19 = 67,326.19 : x
  2. Step 2: Convert to fraction form
    31,240.69/67,326.19 = 67,326.19/x
  3. Step 3: Cross multiply
    31,240.69x = 67,326.19 × 67,326.19
  4. Step 4: Simplify right side
    31,240.69x = 4,532,815,523.29
  5. Step 5: Solve for x
    x = 4,532,815,523.29/31,240.69
  6. Step 6: Final answer
    x = 145,093.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.