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Finding the Third Proportional to 67,785.19 and 137,416.50

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Solution

The third proportional to 67,785.19 and 137,416.50 is: 278,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,785.19 : 137,416.50 = 137,416.50 : x
  2. Step 2: Convert to fraction form
    67,785.19/137,416.50 = 137,416.50/x
  3. Step 3: Cross multiply
    67,785.19x = 137,416.50 × 137,416.50
  4. Step 4: Simplify right side
    67,785.19x = 18,883,294,472.25
  5. Step 5: Solve for x
    x = 18,883,294,472.25/67,785.19
  6. Step 6: Final answer
    x = 278,575.53

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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.