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Finding the Third Proportional to 90,570 and 196,701

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Solution

The third proportional to 90,570 and 196,701 is: 427,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,570 : 196,701 = 196,701 : x
  2. Step 2: Convert to fraction form
    90,570/196,701 = 196,701/x
  3. Step 3: Cross multiply
    90,570x = 196,701 × 196,701
  4. Step 4: Simplify right side
    90,570x = 38,691,283,401
  5. Step 5: Solve for x
    x = 38,691,283,401/90,570
  6. Step 6: Final answer
    x = 427,197.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.