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Finding the Third Proportional to 120,089 and 261,319

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Solution

The third proportional to 120,089 and 261,319 is: 568,641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,089 : 261,319 = 261,319 : x
  2. Step 2: Convert to fraction form
    120,089/261,319 = 261,319/x
  3. Step 3: Cross multiply
    120,089x = 261,319 × 261,319
  4. Step 4: Simplify right side
    120,089x = 68,287,619,761
  5. Step 5: Solve for x
    x = 68,287,619,761/120,089
  6. Step 6: Final answer
    x = 568,641.76

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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.