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Finding the Third Proportional to 120,224 and 261,346

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Solution

The third proportional to 120,224 and 261,346 is: 568,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,224 : 261,346 = 261,346 : x
  2. Step 2: Convert to fraction form
    120,224/261,346 = 261,346/x
  3. Step 3: Cross multiply
    120,224x = 261,346 × 261,346
  4. Step 4: Simplify right side
    120,224x = 68,301,731,716
  5. Step 5: Solve for x
    x = 68,301,731,716/120,224
  6. Step 6: Final answer
    x = 568,120.61

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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.