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Finding the Third Proportional to 217,818 and 471,835

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Solution

The third proportional to 217,818 and 471,835 is: 1,022,083.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,818 : 471,835 = 471,835 : x
  2. Step 2: Convert to fraction form
    217,818/471,835 = 471,835/x
  3. Step 3: Cross multiply
    217,818x = 471,835 × 471,835
  4. Step 4: Simplify right side
    217,818x = 222,628,267,225
  5. Step 5: Solve for x
    x = 222,628,267,225/217,818
  6. Step 6: Final answer
    x = 1,022,083.88

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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.