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Finding the Third Proportional to 217,581 and 471,450

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Solution

The third proportional to 217,581 and 471,450 is: 1,021,528.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,581 : 471,450 = 471,450 : x
  2. Step 2: Convert to fraction form
    217,581/471,450 = 471,450/x
  3. Step 3: Cross multiply
    217,581x = 471,450 × 471,450
  4. Step 4: Simplify right side
    217,581x = 222,265,102,500
  5. Step 5: Solve for x
    x = 222,265,102,500/217,581
  6. Step 6: Final answer
    x = 1,021,528.09

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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.