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Finding the Third Proportional to 120,882 and 263,121

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Solution

The third proportional to 120,882 and 263,121 is: 572,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,882 : 263,121 = 263,121 : x
  2. Step 2: Convert to fraction form
    120,882/263,121 = 263,121/x
  3. Step 3: Cross multiply
    120,882x = 263,121 × 263,121
  4. Step 4: Simplify right side
    120,882x = 69,232,660,641
  5. Step 5: Solve for x
    x = 69,232,660,641/120,882
  6. Step 6: Final answer
    x = 572,729.28

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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.