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Finding the Third Proportional to 211,425 and 443,609

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Solution

The third proportional to 211,425 and 443,609 is: 930,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,425 : 443,609 = 443,609 : x
  2. Step 2: Convert to fraction form
    211,425/443,609 = 443,609/x
  3. Step 3: Cross multiply
    211,425x = 443,609 × 443,609
  4. Step 4: Simplify right side
    211,425x = 196,788,944,881
  5. Step 5: Solve for x
    x = 196,788,944,881/211,425
  6. Step 6: Final answer
    x = 930,774.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.