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Finding the Third Proportional to 90,724 and 208,234

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Solution

The third proportional to 90,724 and 208,234 is: 477,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,724 : 208,234 = 208,234 : x
  2. Step 2: Convert to fraction form
    90,724/208,234 = 208,234/x
  3. Step 3: Cross multiply
    90,724x = 208,234 × 208,234
  4. Step 4: Simplify right side
    90,724x = 43,361,398,756
  5. Step 5: Solve for x
    x = 43,361,398,756/90,724
  6. Step 6: Final answer
    x = 477,948.49

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.