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Finding the Third Proportional to 120,922 and 251,653

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Solution

The third proportional to 120,922 and 251,653 is: 523,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,922 : 251,653 = 251,653 : x
  2. Step 2: Convert to fraction form
    120,922/251,653 = 251,653/x
  3. Step 3: Cross multiply
    120,922x = 251,653 × 251,653
  4. Step 4: Simplify right side
    120,922x = 63,329,232,409
  5. Step 5: Solve for x
    x = 63,329,232,409/120,922
  6. Step 6: Final answer
    x = 523,719.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.