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Finding the Third Proportional to 90,144 and 198,720

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Solution

The third proportional to 90,144 and 198,720 is: 438,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,144 : 198,720 = 198,720 : x
  2. Step 2: Convert to fraction form
    90,144/198,720 = 198,720/x
  3. Step 3: Cross multiply
    90,144x = 198,720 × 198,720
  4. Step 4: Simplify right side
    90,144x = 39,489,638,400
  5. Step 5: Solve for x
    x = 39,489,638,400/90,144
  6. Step 6: Final answer
    x = 438,072.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.