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Finding the Third Proportional to 128,342 and 198,345

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Solution

The third proportional to 128,342 and 198,345 is: 306,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,342 : 198,345 = 198,345 : x
  2. Step 2: Convert to fraction form
    128,342/198,345 = 198,345/x
  3. Step 3: Cross multiply
    128,342x = 198,345 × 198,345
  4. Step 4: Simplify right side
    128,342x = 39,340,739,025
  5. Step 5: Solve for x
    x = 39,340,739,025/128,342
  6. Step 6: Final answer
    x = 306,530.51

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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.