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Finding the Third Proportional to 90,648 and 198,420

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Solution

The third proportional to 90,648 and 198,420 is: 434,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,648 : 198,420 = 198,420 : x
  2. Step 2: Convert to fraction form
    90,648/198,420 = 198,420/x
  3. Step 3: Cross multiply
    90,648x = 198,420 × 198,420
  4. Step 4: Simplify right side
    90,648x = 39,370,496,400
  5. Step 5: Solve for x
    x = 39,370,496,400/90,648
  6. Step 6: Final answer
    x = 434,322.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.