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Finding the Third Proportional to 129,026 and 199,286

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Solution

The third proportional to 129,026 and 199,286 is: 307,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,026 : 199,286 = 199,286 : x
  2. Step 2: Convert to fraction form
    129,026/199,286 = 199,286/x
  3. Step 3: Cross multiply
    129,026x = 199,286 × 199,286
  4. Step 4: Simplify right side
    129,026x = 39,714,909,796
  5. Step 5: Solve for x
    x = 39,714,909,796/129,026
  6. Step 6: Final answer
    x = 307,805.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.