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Finding the Third Proportional to 198,690 and 387,390

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Solution

The third proportional to 198,690 and 387,390 is: 755,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,690 : 387,390 = 387,390 : x
  2. Step 2: Convert to fraction form
    198,690/387,390 = 387,390/x
  3. Step 3: Cross multiply
    198,690x = 387,390 × 387,390
  4. Step 4: Simplify right side
    198,690x = 150,071,012,100
  5. Step 5: Solve for x
    x = 150,071,012,100/198,690
  6. Step 6: Final answer
    x = 755,302.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.