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Finding the Third Proportional to 120,223 and 261,344

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Solution

The third proportional to 120,223 and 261,344 is: 568,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,223 : 261,344 = 261,344 : x
  2. Step 2: Convert to fraction form
    120,223/261,344 = 261,344/x
  3. Step 3: Cross multiply
    120,223x = 261,344 × 261,344
  4. Step 4: Simplify right side
    120,223x = 68,300,686,336
  5. Step 5: Solve for x
    x = 68,300,686,336/120,223
  6. Step 6: Final answer
    x = 568,116.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.