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Finding the Third Proportional to 120,351 and 260,790

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Solution

The third proportional to 120,351 and 260,790 is: 565,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,351 : 260,790 = 260,790 : x
  2. Step 2: Convert to fraction form
    120,351/260,790 = 260,790/x
  3. Step 3: Cross multiply
    120,351x = 260,790 × 260,790
  4. Step 4: Simplify right side
    120,351x = 68,011,424,100
  5. Step 5: Solve for x
    x = 68,011,424,100/120,351
  6. Step 6: Final answer
    x = 565,108.92

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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.