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Finding the Third Proportional to 128,909 and 199,196

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Solution

The third proportional to 128,909 and 199,196 is: 307,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,909 : 199,196 = 199,196 : x
  2. Step 2: Convert to fraction form
    128,909/199,196 = 199,196/x
  3. Step 3: Cross multiply
    128,909x = 199,196 × 199,196
  4. Step 4: Simplify right side
    128,909x = 39,679,046,416
  5. Step 5: Solve for x
    x = 39,679,046,416/128,909
  6. Step 6: Final answer
    x = 307,806.64

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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.