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Finding the Third Proportional to 217,542.75 and 471,378

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Solution

The third proportional to 217,542.75 and 471,378 is: 1,021,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,542.75 : 471,378 = 471,378 : x
  2. Step 2: Convert to fraction form
    217,542.75/471,378 = 471,378/x
  3. Step 3: Cross multiply
    217,542.75x = 471,378 × 471,378
  4. Step 4: Simplify right side
    217,542.75x = 222,197,218,884
  5. Step 5: Solve for x
    x = 222,197,218,884/217,542.75
  6. Step 6: Final answer
    x = 1,021,395.65

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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.