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Finding the Third Proportional to 120,860 and 261,808

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Solution

The third proportional to 120,860 and 261,808 is: 567,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,860 : 261,808 = 261,808 : x
  2. Step 2: Convert to fraction form
    120,860/261,808 = 261,808/x
  3. Step 3: Cross multiply
    120,860x = 261,808 × 261,808
  4. Step 4: Simplify right side
    120,860x = 68,543,428,864
  5. Step 5: Solve for x
    x = 68,543,428,864/120,860
  6. Step 6: Final answer
    x = 567,130.80

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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.