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Finding the Third Proportional to 120,876 and 263,258

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Solution

The third proportional to 120,876 and 263,258 is: 573,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,876 : 263,258 = 263,258 : x
  2. Step 2: Convert to fraction form
    120,876/263,258 = 263,258/x
  3. Step 3: Cross multiply
    120,876x = 263,258 × 263,258
  4. Step 4: Simplify right side
    120,876x = 69,304,774,564
  5. Step 5: Solve for x
    x = 69,304,774,564/120,876
  6. Step 6: Final answer
    x = 573,354.30

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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.