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Finding the Third Proportional to 128,344 and 198,348

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Solution

The third proportional to 128,344 and 198,348 is: 306,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,344 : 198,348 = 198,348 : x
  2. Step 2: Convert to fraction form
    128,344/198,348 = 198,348/x
  3. Step 3: Cross multiply
    128,344x = 198,348 × 198,348
  4. Step 4: Simplify right side
    128,344x = 39,341,929,104
  5. Step 5: Solve for x
    x = 39,341,929,104/128,344
  6. Step 6: Final answer
    x = 306,535.01

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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.