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Finding the Third Proportional to 198,360 and 297,540

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Solution

The third proportional to 198,360 and 297,540 is: 446,310

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,360 : 297,540 = 297,540 : x
  2. Step 2: Convert to fraction form
    198,360/297,540 = 297,540/x
  3. Step 3: Cross multiply
    198,360x = 297,540 × 297,540
  4. Step 4: Simplify right side
    198,360x = 88,530,051,600
  5. Step 5: Solve for x
    x = 88,530,051,600/198,360
  6. Step 6: Final answer
    x = 446,310

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.