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Finding the Third Proportional to 129,028 and 199,374

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Solution

The third proportional to 129,028 and 199,374 is: 308,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,028 : 199,374 = 199,374 : x
  2. Step 2: Convert to fraction form
    129,028/199,374 = 199,374/x
  3. Step 3: Cross multiply
    129,028x = 199,374 × 199,374
  4. Step 4: Simplify right side
    129,028x = 39,749,991,876
  5. Step 5: Solve for x
    x = 39,749,991,876/129,028
  6. Step 6: Final answer
    x = 308,072.60

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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.