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Finding the Third Proportional to 217,659 and 457,351

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Solution

The third proportional to 217,659 and 457,351 is: 960,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,659 : 457,351 = 457,351 : x
  2. Step 2: Convert to fraction form
    217,659/457,351 = 457,351/x
  3. Step 3: Cross multiply
    217,659x = 457,351 × 457,351
  4. Step 4: Simplify right side
    217,659x = 209,169,937,201
  5. Step 5: Solve for x
    x = 209,169,937,201/217,659
  6. Step 6: Final answer
    x = 960,998.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.