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Finding the Third Proportional to 57,890 and 120,388

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Solution

The third proportional to 57,890 and 120,388 is: 250,358.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,890 : 120,388 = 120,388 : x
  2. Step 2: Convert to fraction form
    57,890/120,388 = 120,388/x
  3. Step 3: Cross multiply
    57,890x = 120,388 × 120,388
  4. Step 4: Simplify right side
    57,890x = 14,493,270,544
  5. Step 5: Solve for x
    x = 14,493,270,544/57,890
  6. Step 6: Final answer
    x = 250,358.79

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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.