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Finding the Third Proportional to 396,607 and 773,288

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Solution

The third proportional to 396,607 and 773,288 is: 1,507,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,607 : 773,288 = 773,288 : x
  2. Step 2: Convert to fraction form
    396,607/773,288 = 773,288/x
  3. Step 3: Cross multiply
    396,607x = 773,288 × 773,288
  4. Step 4: Simplify right side
    396,607x = 597,974,330,944
  5. Step 5: Solve for x
    x = 597,974,330,944/396,607
  6. Step 6: Final answer
    x = 1,507,725.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.