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Finding the Third Proportional to 211,494 and 457,836

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Solution

The third proportional to 211,494 and 457,836 is: 991,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,494 : 457,836 = 457,836 : x
  2. Step 2: Convert to fraction form
    211,494/457,836 = 457,836/x
  3. Step 3: Cross multiply
    211,494x = 457,836 × 457,836
  4. Step 4: Simplify right side
    211,494x = 209,613,802,896
  5. Step 5: Solve for x
    x = 209,613,802,896/211,494
  6. Step 6: Final answer
    x = 991,109.93

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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.