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Finding the Third Proportional to 128,969 and 208,934

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Solution

The third proportional to 128,969 and 208,934 is: 338,479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,969 : 208,934 = 208,934 : x
  2. Step 2: Convert to fraction form
    128,969/208,934 = 208,934/x
  3. Step 3: Cross multiply
    128,969x = 208,934 × 208,934
  4. Step 4: Simplify right side
    128,969x = 43,653,416,356
  5. Step 5: Solve for x
    x = 43,653,416,356/128,969
  6. Step 6: Final answer
    x = 338,479.92

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.