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Finding the Third Proportional to 78,846.75 and 177,432.75

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Solution

The third proportional to 78,846.75 and 177,432.75 is: 399,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,846.75 : 177,432.75 = 177,432.75 : x
  2. Step 2: Convert to fraction form
    78,846.75/177,432.75 = 177,432.75/x
  3. Step 3: Cross multiply
    78,846.75x = 177,432.75 × 177,432.75
  4. Step 4: Simplify right side
    78,846.75x = 31,482,380,772.56
  5. Step 5: Solve for x
    x = 31,482,380,772.56/78,846.75
  6. Step 6: Final answer
    x = 399,285.71

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.