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Finding the Third Proportional to 211,716 and 457,992

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Solution

The third proportional to 211,716 and 457,992 is: 990,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,716 : 457,992 = 457,992 : x
  2. Step 2: Convert to fraction form
    211,716/457,992 = 457,992/x
  3. Step 3: Cross multiply
    211,716x = 457,992 × 457,992
  4. Step 4: Simplify right side
    211,716x = 209,756,672,064
  5. Step 5: Solve for x
    x = 209,756,672,064/211,716
  6. Step 6: Final answer
    x = 990,745.49

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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.