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Finding the Third Proportional to 217,144 and 457,616

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Solution

The third proportional to 217,144 and 457,616 is: 964,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,144 : 457,616 = 457,616 : x
  2. Step 2: Convert to fraction form
    217,144/457,616 = 457,616/x
  3. Step 3: Cross multiply
    217,144x = 457,616 × 457,616
  4. Step 4: Simplify right side
    217,144x = 209,412,403,456
  5. Step 5: Solve for x
    x = 209,412,403,456/217,144
  6. Step 6: Final answer
    x = 964,394.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.