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Finding the Third Proportional to 128,209 and 199,034

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Solution

The third proportional to 128,209 and 199,034 is: 308,984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,209 : 199,034 = 199,034 : x
  2. Step 2: Convert to fraction form
    128,209/199,034 = 199,034/x
  3. Step 3: Cross multiply
    128,209x = 199,034 × 199,034
  4. Step 4: Simplify right side
    128,209x = 39,614,533,156
  5. Step 5: Solve for x
    x = 39,614,533,156/128,209
  6. Step 6: Final answer
    x = 308,984.03

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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.