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Finding the Third Proportional to 202,446 and 443,028

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Solution

The third proportional to 202,446 and 443,028 is: 969,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,446 : 443,028 = 443,028 : x
  2. Step 2: Convert to fraction form
    202,446/443,028 = 443,028/x
  3. Step 3: Cross multiply
    202,446x = 443,028 × 443,028
  4. Step 4: Simplify right side
    202,446x = 196,273,808,784
  5. Step 5: Solve for x
    x = 196,273,808,784/202,446
  6. Step 6: Final answer
    x = 969,511.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.