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Finding the Third Proportional to 648,508 and 923,812

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Solution

The third proportional to 648,508 and 923,812 is: 1,315,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,508 : 923,812 = 923,812 : x
  2. Step 2: Convert to fraction form
    648,508/923,812 = 923,812/x
  3. Step 3: Cross multiply
    648,508x = 923,812 × 923,812
  4. Step 4: Simplify right side
    648,508x = 853,428,611,344
  5. Step 5: Solve for x
    x = 853,428,611,344/648,508
  6. Step 6: Final answer
    x = 1,315,987.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.