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Finding the Third Proportional to 129,035 and 196,286

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Solution

The third proportional to 129,035 and 196,286 is: 298,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,035 : 196,286 = 196,286 : x
  2. Step 2: Convert to fraction form
    129,035/196,286 = 196,286/x
  3. Step 3: Cross multiply
    129,035x = 196,286 × 196,286
  4. Step 4: Simplify right side
    129,035x = 38,528,193,796
  5. Step 5: Solve for x
    x = 38,528,193,796/129,035
  6. Step 6: Final answer
    x = 298,587.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.