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Finding the Third Proportional to 664,623 and 996,687

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Solution

The third proportional to 664,623 and 996,687 is: 1,494,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,623 : 996,687 = 996,687 : x
  2. Step 2: Convert to fraction form
    664,623/996,687 = 996,687/x
  3. Step 3: Cross multiply
    664,623x = 996,687 × 996,687
  4. Step 4: Simplify right side
    664,623x = 993,384,975,969
  5. Step 5: Solve for x
    x = 993,384,975,969/664,623
  6. Step 6: Final answer
    x = 1,494,659.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.