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Finding the Third Proportional to 276,257.50 and 389,935.50

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Solution

The third proportional to 276,257.50 and 389,935.50 is: 550,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,257.50 : 389,935.50 = 389,935.50 : x
  2. Step 2: Convert to fraction form
    276,257.50/389,935.50 = 389,935.50/x
  3. Step 3: Cross multiply
    276,257.50x = 389,935.50 × 389,935.50
  4. Step 4: Simplify right side
    276,257.50x = 152,049,694,160.25
  5. Step 5: Solve for x
    x = 152,049,694,160.25/276,257.50
  6. Step 6: Final answer
    x = 550,391.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.