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Finding the Third Proportional to 128,336 and 198,336

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Solution

The third proportional to 128,336 and 198,336 is: 306,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,336 : 198,336 = 198,336 : x
  2. Step 2: Convert to fraction form
    128,336/198,336 = 198,336/x
  3. Step 3: Cross multiply
    128,336x = 198,336 × 198,336
  4. Step 4: Simplify right side
    128,336x = 39,337,168,896
  5. Step 5: Solve for x
    x = 39,337,168,896/128,336
  6. Step 6: Final answer
    x = 306,517.02

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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.