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Finding the Third Proportional to 78,787.50 and 118,236.75

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Solution

The third proportional to 78,787.50 and 118,236.75 is: 177,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,787.50 : 118,236.75 = 118,236.75 : x
  2. Step 2: Convert to fraction form
    78,787.50/118,236.75 = 118,236.75/x
  3. Step 3: Cross multiply
    78,787.50x = 118,236.75 × 118,236.75
  4. Step 4: Simplify right side
    78,787.50x = 13,979,929,050.56
  5. Step 5: Solve for x
    x = 13,979,929,050.56/78,787.50
  6. Step 6: Final answer
    x = 177,438.41

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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.