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Finding the Third Proportional to 198,696 and 387,432

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Solution

The third proportional to 198,696 and 387,432 is: 755,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,696 : 387,432 = 387,432 : x
  2. Step 2: Convert to fraction form
    198,696/387,432 = 387,432/x
  3. Step 3: Cross multiply
    198,696x = 387,432 × 387,432
  4. Step 4: Simplify right side
    198,696x = 150,103,554,624
  5. Step 5: Solve for x
    x = 150,103,554,624/198,696
  6. Step 6: Final answer
    x = 755,443.26

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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.