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Finding the Third Proportional to 256,620 and 523,320

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Solution

The third proportional to 256,620 and 523,320 is: 1,067,195.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,620 : 523,320 = 523,320 : x
  2. Step 2: Convert to fraction form
    256,620/523,320 = 523,320/x
  3. Step 3: Cross multiply
    256,620x = 523,320 × 523,320
  4. Step 4: Simplify right side
    256,620x = 273,863,822,400
  5. Step 5: Solve for x
    x = 273,863,822,400/256,620
  6. Step 6: Final answer
    x = 1,067,195.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.