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Finding the Third Proportional to 127,912.50 and 191,868.75

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Solution

The third proportional to 127,912.50 and 191,868.75 is: 287,803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,912.50 : 191,868.75 = 191,868.75 : x
  2. Step 2: Convert to fraction form
    127,912.50/191,868.75 = 191,868.75/x
  3. Step 3: Cross multiply
    127,912.50x = 191,868.75 × 191,868.75
  4. Step 4: Simplify right side
    127,912.50x = 36,813,617,226.56
  5. Step 5: Solve for x
    x = 36,813,617,226.56/127,912.50
  6. Step 6: Final answer
    x = 287,803.13

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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.