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Finding the Third Proportional to 120,926 and 262,561

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Solution

The third proportional to 120,926 and 262,561 is: 570,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,926 : 262,561 = 262,561 : x
  2. Step 2: Convert to fraction form
    120,926/262,561 = 262,561/x
  3. Step 3: Cross multiply
    120,926x = 262,561 × 262,561
  4. Step 4: Simplify right side
    120,926x = 68,938,278,721
  5. Step 5: Solve for x
    x = 68,938,278,721/120,926
  6. Step 6: Final answer
    x = 570,086.49

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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.