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Finding the Third Proportional to 112,780 and 234,859

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Solution

The third proportional to 112,780 and 234,859 is: 489,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,780 : 234,859 = 234,859 : x
  2. Step 2: Convert to fraction form
    112,780/234,859 = 234,859/x
  3. Step 3: Cross multiply
    112,780x = 234,859 × 234,859
  4. Step 4: Simplify right side
    112,780x = 55,158,749,881
  5. Step 5: Solve for x
    x = 55,158,749,881/112,780
  6. Step 6: Final answer
    x = 489,082.73

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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.