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Finding the Third Proportional to 206,482 and 290,777

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Solution

The third proportional to 206,482 and 290,777 is: 409,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,482 : 290,777 = 290,777 : x
  2. Step 2: Convert to fraction form
    206,482/290,777 = 290,777/x
  3. Step 3: Cross multiply
    206,482x = 290,777 × 290,777
  4. Step 4: Simplify right side
    206,482x = 84,551,263,729
  5. Step 5: Solve for x
    x = 84,551,263,729/206,482
  6. Step 6: Final answer
    x = 409,484.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.