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Finding the Third Proportional to 211,563 and 440,616

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Solution

The third proportional to 211,563 and 440,616 is: 917,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,563 : 440,616 = 440,616 : x
  2. Step 2: Convert to fraction form
    211,563/440,616 = 440,616/x
  3. Step 3: Cross multiply
    211,563x = 440,616 × 440,616
  4. Step 4: Simplify right side
    211,563x = 194,142,459,456
  5. Step 5: Solve for x
    x = 194,142,459,456/211,563
  6. Step 6: Final answer
    x = 917,657.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.