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Finding the Third Proportional to 120,353 and 261,118

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Solution

The third proportional to 120,353 and 261,118 is: 566,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,353 : 261,118 = 261,118 : x
  2. Step 2: Convert to fraction form
    120,353/261,118 = 261,118/x
  3. Step 3: Cross multiply
    120,353x = 261,118 × 261,118
  4. Step 4: Simplify right side
    120,353x = 68,182,609,924
  5. Step 5: Solve for x
    x = 68,182,609,924/120,353
  6. Step 6: Final answer
    x = 566,521.90

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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.