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Finding the Third Proportional to 211,494 and 457,834

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Solution

The third proportional to 211,494 and 457,834 is: 991,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,494 : 457,834 = 457,834 : x
  2. Step 2: Convert to fraction form
    211,494/457,834 = 457,834/x
  3. Step 3: Cross multiply
    211,494x = 457,834 × 457,834
  4. Step 4: Simplify right side
    211,494x = 209,611,971,556
  5. Step 5: Solve for x
    x = 209,611,971,556/211,494
  6. Step 6: Final answer
    x = 991,101.27

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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.