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Finding the Third Proportional to 211,137 and 439,689

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Solution

The third proportional to 211,137 and 439,689 is: 915,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,137 : 439,689 = 439,689 : x
  2. Step 2: Convert to fraction form
    211,137/439,689 = 439,689/x
  3. Step 3: Cross multiply
    211,137x = 439,689 × 439,689
  4. Step 4: Simplify right side
    211,137x = 193,326,416,721
  5. Step 5: Solve for x
    x = 193,326,416,721/211,137
  6. Step 6: Final answer
    x = 915,644.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.