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Finding the Third Proportional to 76,675.50 and 156,480.75

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Solution

The third proportional to 76,675.50 and 156,480.75 is: 319,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675.50 : 156,480.75 = 156,480.75 : x
  2. Step 2: Convert to fraction form
    76,675.50/156,480.75 = 156,480.75/x
  3. Step 3: Cross multiply
    76,675.50x = 156,480.75 × 156,480.75
  4. Step 4: Simplify right side
    76,675.50x = 24,486,225,120.56
  5. Step 5: Solve for x
    x = 24,486,225,120.56/76,675.50
  6. Step 6: Final answer
    x = 319,348.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.