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Finding the Third Proportional to 213,947.50 and 299,096.75

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Solution

The third proportional to 213,947.50 and 299,096.75 is: 418,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,947.50 : 299,096.75 = 299,096.75 : x
  2. Step 2: Convert to fraction form
    213,947.50/299,096.75 = 299,096.75/x
  3. Step 3: Cross multiply
    213,947.50x = 299,096.75 × 299,096.75
  4. Step 4: Simplify right side
    213,947.50x = 89,458,865,860.56
  5. Step 5: Solve for x
    x = 89,458,865,860.56/213,947.50
  6. Step 6: Final answer
    x = 418,134.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.