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Finding the Third Proportional to 276,846.38 and 420,868.88

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Solution

The third proportional to 276,846.38 and 420,868.88 is: 639,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,846.38 : 420,868.88 = 420,868.88 : x
  2. Step 2: Convert to fraction form
    276,846.38/420,868.88 = 420,868.88/x
  3. Step 3: Cross multiply
    276,846.38x = 420,868.88 × 420,868.88
  4. Step 4: Simplify right side
    276,846.38x = 177,130,609,943.77
  5. Step 5: Solve for x
    x = 177,130,609,943.77/276,846.38
  6. Step 6: Final answer
    x = 639,815.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.