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Finding the Third Proportional to 373,203 and 809,397

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Solution

The third proportional to 373,203 and 809,397 is: 1,755,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,203 : 809,397 = 809,397 : x
  2. Step 2: Convert to fraction form
    373,203/809,397 = 809,397/x
  3. Step 3: Cross multiply
    373,203x = 809,397 × 809,397
  4. Step 4: Simplify right side
    373,203x = 655,123,503,609
  5. Step 5: Solve for x
    x = 655,123,503,609/373,203
  6. Step 6: Final answer
    x = 1,755,407.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.