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Finding the Third Proportional to 211,427 and 443,613

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Solution

The third proportional to 211,427 and 443,613 is: 930,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,427 : 443,613 = 443,613 : x
  2. Step 2: Convert to fraction form
    211,427/443,613 = 443,613/x
  3. Step 3: Cross multiply
    211,427x = 443,613 × 443,613
  4. Step 4: Simplify right side
    211,427x = 196,792,493,769
  5. Step 5: Solve for x
    x = 196,792,493,769/211,427
  6. Step 6: Final answer
    x = 930,782.23

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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.