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Finding the Third Proportional to 255,079 and 381,285

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Solution

The third proportional to 255,079 and 381,285 is: 569,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,079 : 381,285 = 381,285 : x
  2. Step 2: Convert to fraction form
    255,079/381,285 = 381,285/x
  3. Step 3: Cross multiply
    255,079x = 381,285 × 381,285
  4. Step 4: Simplify right side
    255,079x = 145,378,251,225
  5. Step 5: Solve for x
    x = 145,378,251,225/255,079
  6. Step 6: Final answer
    x = 569,934.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.