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Finding the Third Proportional to 379,812 and 587,913

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Solution

The third proportional to 379,812 and 587,913 is: 910,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,812 : 587,913 = 587,913 : x
  2. Step 2: Convert to fraction form
    379,812/587,913 = 587,913/x
  3. Step 3: Cross multiply
    379,812x = 587,913 × 587,913
  4. Step 4: Simplify right side
    379,812x = 345,641,695,569
  5. Step 5: Solve for x
    x = 345,641,695,569/379,812
  6. Step 6: Final answer
    x = 910,033.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.