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Finding the Third Proportional to 443,422 and 676,205

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Solution

The third proportional to 443,422 and 676,205 is: 1,031,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,422 : 676,205 = 676,205 : x
  2. Step 2: Convert to fraction form
    443,422/676,205 = 676,205/x
  3. Step 3: Cross multiply
    443,422x = 676,205 × 676,205
  4. Step 4: Simplify right side
    443,422x = 457,253,202,025
  5. Step 5: Solve for x
    x = 457,253,202,025/443,422
  6. Step 6: Final answer
    x = 1,031,191.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.