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Finding the Third Proportional to 90,808 and 211,019

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Solution

The third proportional to 90,808 and 211,019 is: 490,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,808 : 211,019 = 211,019 : x
  2. Step 2: Convert to fraction form
    90,808/211,019 = 211,019/x
  3. Step 3: Cross multiply
    90,808x = 211,019 × 211,019
  4. Step 4: Simplify right side
    90,808x = 44,529,018,361
  5. Step 5: Solve for x
    x = 44,529,018,361/90,808
  6. Step 6: Final answer
    x = 490,364.49

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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.