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Finding the Third Proportional to 120,090 and 261,321

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Solution

The third proportional to 120,090 and 261,321 is: 568,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,090 : 261,321 = 261,321 : x
  2. Step 2: Convert to fraction form
    120,090/261,321 = 261,321/x
  3. Step 3: Cross multiply
    120,090x = 261,321 × 261,321
  4. Step 4: Simplify right side
    120,090x = 68,288,665,041
  5. Step 5: Solve for x
    x = 68,288,665,041/120,090
  6. Step 6: Final answer
    x = 568,645.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.