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Finding the Third Proportional to 90,984 and 198,480

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Solution

The third proportional to 90,984 and 198,480 is: 432,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,984 : 198,480 = 198,480 : x
  2. Step 2: Convert to fraction form
    90,984/198,480 = 198,480/x
  3. Step 3: Cross multiply
    90,984x = 198,480 × 198,480
  4. Step 4: Simplify right side
    90,984x = 39,394,310,400
  5. Step 5: Solve for x
    x = 39,394,310,400/90,984
  6. Step 6: Final answer
    x = 432,980.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.