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Finding the Third Proportional to 120,926 and 261,552

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Solution

The third proportional to 120,926 and 261,552 is: 565,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,926 : 261,552 = 261,552 : x
  2. Step 2: Convert to fraction form
    120,926/261,552 = 261,552/x
  3. Step 3: Cross multiply
    120,926x = 261,552 × 261,552
  4. Step 4: Simplify right side
    120,926x = 68,409,448,704
  5. Step 5: Solve for x
    x = 68,409,448,704/120,926
  6. Step 6: Final answer
    x = 565,713.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.