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Finding the Third Proportional to 639,508 and 923,905

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Solution

The third proportional to 639,508 and 923,905 is: 1,334,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,508 : 923,905 = 923,905 : x
  2. Step 2: Convert to fraction form
    639,508/923,905 = 923,905/x
  3. Step 3: Cross multiply
    639,508x = 923,905 × 923,905
  4. Step 4: Simplify right side
    639,508x = 853,600,449,025
  5. Step 5: Solve for x
    x = 853,600,449,025/639,508
  6. Step 6: Final answer
    x = 1,334,776.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.