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Finding the Third Proportional to 120,882 and 263,270

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Solution

The third proportional to 120,882 and 263,270 is: 573,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,882 : 263,270 = 263,270 : x
  2. Step 2: Convert to fraction form
    120,882/263,270 = 263,270/x
  3. Step 3: Cross multiply
    120,882x = 263,270 × 263,270
  4. Step 4: Simplify right side
    120,882x = 69,311,092,900
  5. Step 5: Solve for x
    x = 69,311,092,900/120,882
  6. Step 6: Final answer
    x = 573,378.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.