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Finding the Third Proportional to 120,866 and 259,226

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Solution

The third proportional to 120,866 and 259,226 is: 555,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,866 : 259,226 = 259,226 : x
  2. Step 2: Convert to fraction form
    120,866/259,226 = 259,226/x
  3. Step 3: Cross multiply
    120,866x = 259,226 × 259,226
  4. Step 4: Simplify right side
    120,866x = 67,198,119,076
  5. Step 5: Solve for x
    x = 67,198,119,076/120,866
  6. Step 6: Final answer
    x = 555,972.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.