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Finding the Third Proportional to 211,718 and 457,996

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Solution

The third proportional to 211,718 and 457,996 is: 990,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,718 : 457,996 = 457,996 : x
  2. Step 2: Convert to fraction form
    211,718/457,996 = 457,996/x
  3. Step 3: Cross multiply
    211,718x = 457,996 × 457,996
  4. Step 4: Simplify right side
    211,718x = 209,760,336,016
  5. Step 5: Solve for x
    x = 209,760,336,016/211,718
  6. Step 6: Final answer
    x = 990,753.44

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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.