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Finding the Third Proportional to 128,911 and 199,199

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Solution

The third proportional to 128,911 and 199,199 is: 307,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,911 : 199,199 = 199,199 : x
  2. Step 2: Convert to fraction form
    128,911/199,199 = 199,199/x
  3. Step 3: Cross multiply
    128,911x = 199,199 × 199,199
  4. Step 4: Simplify right side
    128,911x = 39,680,241,601
  5. Step 5: Solve for x
    x = 39,680,241,601/128,911
  6. Step 6: Final answer
    x = 307,811.14

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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.