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Finding the Third Proportional to 90,583 and 196,775

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Solution

The third proportional to 90,583 and 196,775 is: 427,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,583 : 196,775 = 196,775 : x
  2. Step 2: Convert to fraction form
    90,583/196,775 = 196,775/x
  3. Step 3: Cross multiply
    90,583x = 196,775 × 196,775
  4. Step 4: Simplify right side
    90,583x = 38,720,400,625
  5. Step 5: Solve for x
    x = 38,720,400,625/90,583
  6. Step 6: Final answer
    x = 427,457.70

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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.