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Finding the Third Proportional to 129,011 and 199,349

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Solution

The third proportional to 129,011 and 199,349 is: 308,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,011 : 199,349 = 199,349 : x
  2. Step 2: Convert to fraction form
    129,011/199,349 = 199,349/x
  3. Step 3: Cross multiply
    129,011x = 199,349 × 199,349
  4. Step 4: Simplify right side
    129,011x = 39,740,023,801
  5. Step 5: Solve for x
    x = 39,740,023,801/129,011
  6. Step 6: Final answer
    x = 308,035.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.