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Finding the Third Proportional to 90,777 and 210,945

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Solution

The third proportional to 90,777 and 210,945 is: 490,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,777 : 210,945 = 210,945 : x
  2. Step 2: Convert to fraction form
    90,777/210,945 = 210,945/x
  3. Step 3: Cross multiply
    90,777x = 210,945 × 210,945
  4. Step 4: Simplify right side
    90,777x = 44,497,793,025
  5. Step 5: Solve for x
    x = 44,497,793,025/90,777
  6. Step 6: Final answer
    x = 490,187.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.