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Finding the Third Proportional to 120,876 and 285,412

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Solution

The third proportional to 120,876 and 285,412 is: 673,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,876 : 285,412 = 285,412 : x
  2. Step 2: Convert to fraction form
    120,876/285,412 = 285,412/x
  3. Step 3: Cross multiply
    120,876x = 285,412 × 285,412
  4. Step 4: Simplify right side
    120,876x = 81,460,009,744
  5. Step 5: Solve for x
    x = 81,460,009,744/120,876
  6. Step 6: Final answer
    x = 673,913.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.