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Finding the Third Proportional to 217,815.75 and 471,831

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Solution

The third proportional to 217,815.75 and 471,831 is: 1,022,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,815.75 : 471,831 = 471,831 : x
  2. Step 2: Convert to fraction form
    217,815.75/471,831 = 471,831/x
  3. Step 3: Cross multiply
    217,815.75x = 471,831 × 471,831
  4. Step 4: Simplify right side
    217,815.75x = 222,624,492,561
  5. Step 5: Solve for x
    x = 222,624,492,561/217,815.75
  6. Step 6: Final answer
    x = 1,022,077.11

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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.