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Finding the Third Proportional to 78,853.25 and 118,162.75

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Solution

The third proportional to 78,853.25 and 118,162.75 is: 177,068.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,853.25 : 118,162.75 = 118,162.75 : x
  2. Step 2: Convert to fraction form
    78,853.25/118,162.75 = 118,162.75/x
  3. Step 3: Cross multiply
    78,853.25x = 118,162.75 × 118,162.75
  4. Step 4: Simplify right side
    78,853.25x = 13,962,435,487.56
  5. Step 5: Solve for x
    x = 13,962,435,487.56/78,853.25
  6. Step 6: Final answer
    x = 177,068.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.