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Finding the Third Proportional to 217,661 and 457,355

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Solution

The third proportional to 217,661 and 457,355 is: 961,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,661 : 457,355 = 457,355 : x
  2. Step 2: Convert to fraction form
    217,661/457,355 = 457,355/x
  3. Step 3: Cross multiply
    217,661x = 457,355 × 457,355
  4. Step 4: Simplify right side
    217,661x = 209,173,596,025
  5. Step 5: Solve for x
    x = 209,173,596,025/217,661
  6. Step 6: Final answer
    x = 961,006.32

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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.