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Finding the Third Proportional to 211,695 and 457,518

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Solution

The third proportional to 211,695 and 457,518 is: 988,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,695 : 457,518 = 457,518 : x
  2. Step 2: Convert to fraction form
    211,695/457,518 = 457,518/x
  3. Step 3: Cross multiply
    211,695x = 457,518 × 457,518
  4. Step 4: Simplify right side
    211,695x = 209,322,720,324
  5. Step 5: Solve for x
    x = 209,322,720,324/211,695
  6. Step 6: Final answer
    x = 988,793.88

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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.