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Finding the Third Proportional to 211,689 and 456,616

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Solution

The third proportional to 211,689 and 456,616 is: 984,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,689 : 456,616 = 456,616 : x
  2. Step 2: Convert to fraction form
    211,689/456,616 = 456,616/x
  3. Step 3: Cross multiply
    211,689x = 456,616 × 456,616
  4. Step 4: Simplify right side
    211,689x = 208,498,171,456
  5. Step 5: Solve for x
    x = 208,498,171,456/211,689
  6. Step 6: Final answer
    x = 984,926.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.