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Finding the Third Proportional to 215,690 and 469,027

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Solution

The third proportional to 215,690 and 469,027 is: 1,019,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,690 : 469,027 = 469,027 : x
  2. Step 2: Convert to fraction form
    215,690/469,027 = 469,027/x
  3. Step 3: Cross multiply
    215,690x = 469,027 × 469,027
  4. Step 4: Simplify right side
    215,690x = 219,986,326,729
  5. Step 5: Solve for x
    x = 219,986,326,729/215,690
  6. Step 6: Final answer
    x = 1,019,918.99

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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.