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Finding the Third Proportional to 199,539 and 443,363

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Solution

The third proportional to 199,539 and 443,363 is: 985,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,539 : 443,363 = 443,363 : x
  2. Step 2: Convert to fraction form
    199,539/443,363 = 443,363/x
  3. Step 3: Cross multiply
    199,539x = 443,363 × 443,363
  4. Step 4: Simplify right side
    199,539x = 196,570,749,769
  5. Step 5: Solve for x
    x = 196,570,749,769/199,539
  6. Step 6: Final answer
    x = 985,124.46

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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.