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Finding the Third Proportional to 120,328 and 259,310

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Solution

The third proportional to 120,328 and 259,310 is: 558,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,328 : 259,310 = 259,310 : x
  2. Step 2: Convert to fraction form
    120,328/259,310 = 259,310/x
  3. Step 3: Cross multiply
    120,328x = 259,310 × 259,310
  4. Step 4: Simplify right side
    120,328x = 67,241,676,100
  5. Step 5: Solve for x
    x = 67,241,676,100/120,328
  6. Step 6: Final answer
    x = 558,819.86

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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.