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Finding the Third Proportional to 128,320 and 198,312

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Solution

The third proportional to 128,320 and 198,312 is: 306,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,320 : 198,312 = 198,312 : x
  2. Step 2: Convert to fraction form
    128,320/198,312 = 198,312/x
  3. Step 3: Cross multiply
    128,320x = 198,312 × 198,312
  4. Step 4: Simplify right side
    128,320x = 39,327,649,344
  5. Step 5: Solve for x
    x = 39,327,649,344/128,320
  6. Step 6: Final answer
    x = 306,481.06

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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.