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Finding the Third Proportional to 122,789 and 263,517

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Solution

The third proportional to 122,789 and 263,517 is: 565,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,789 : 263,517 = 263,517 : x
  2. Step 2: Convert to fraction form
    122,789/263,517 = 263,517/x
  3. Step 3: Cross multiply
    122,789x = 263,517 × 263,517
  4. Step 4: Simplify right side
    122,789x = 69,441,209,289
  5. Step 5: Solve for x
    x = 69,441,209,289/122,789
  6. Step 6: Final answer
    x = 565,532.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.