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Finding the Third Proportional to 199,521 and 443,331

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Solution

The third proportional to 199,521 and 443,331 is: 985,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,521 : 443,331 = 443,331 : x
  2. Step 2: Convert to fraction form
    199,521/443,331 = 443,331/x
  3. Step 3: Cross multiply
    199,521x = 443,331 × 443,331
  4. Step 4: Simplify right side
    199,521x = 196,542,375,561
  5. Step 5: Solve for x
    x = 196,542,375,561/199,521
  6. Step 6: Final answer
    x = 985,071.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.