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Finding the Third Proportional to 276,572.25 and 425,716.88

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Solution

The third proportional to 276,572.25 and 425,716.88 is: 655,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,572.25 : 425,716.88 = 425,716.88 : x
  2. Step 2: Convert to fraction form
    276,572.25/425,716.88 = 425,716.88/x
  3. Step 3: Cross multiply
    276,572.25x = 425,716.88 × 425,716.88
  4. Step 4: Simplify right side
    276,572.25x = 181,234,857,659.77
  5. Step 5: Solve for x
    x = 181,234,857,659.77/276,572.25
  6. Step 6: Final answer
    x = 655,289.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.