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Finding the Third Proportional to 211,651 and 457,805

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Solution

The third proportional to 211,651 and 457,805 is: 990,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,651 : 457,805 = 457,805 : x
  2. Step 2: Convert to fraction form
    211,651/457,805 = 457,805/x
  3. Step 3: Cross multiply
    211,651x = 457,805 × 457,805
  4. Step 4: Simplify right side
    211,651x = 209,585,418,025
  5. Step 5: Solve for x
    x = 209,585,418,025/211,651
  6. Step 6: Final answer
    x = 990,240.62

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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.