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Finding the Third Proportional to 276,563.25 and 391,678.88

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Solution

The third proportional to 276,563.25 and 391,678.88 is: 554,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,563.25 : 391,678.88 = 391,678.88 : x
  2. Step 2: Convert to fraction form
    276,563.25/391,678.88 = 391,678.88/x
  3. Step 3: Cross multiply
    276,563.25x = 391,678.88 × 391,678.88
  4. Step 4: Simplify right side
    276,563.25x = 153,412,341,121.27
  5. Step 5: Solve for x
    x = 153,412,341,121.27/276,563.25
  6. Step 6: Final answer
    x = 554,709.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.