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Finding the Third Proportional to 67,867.88 and 137,558.25

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Solution

The third proportional to 67,867.88 and 137,558.25 is: 278,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,867.88 : 137,558.25 = 137,558.25 : x
  2. Step 2: Convert to fraction form
    67,867.88/137,558.25 = 137,558.25/x
  3. Step 3: Cross multiply
    67,867.88x = 137,558.25 × 137,558.25
  4. Step 4: Simplify right side
    67,867.88x = 18,922,272,143.06
  5. Step 5: Solve for x
    x = 18,922,272,143.06/67,867.88
  6. Step 6: Final answer
    x = 278,810.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.