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Finding the Third Proportional to 647,991 and 872,325

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Solution

The third proportional to 647,991 and 872,325 is: 1,174,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,991 : 872,325 = 872,325 : x
  2. Step 2: Convert to fraction form
    647,991/872,325 = 872,325/x
  3. Step 3: Cross multiply
    647,991x = 872,325 × 872,325
  4. Step 4: Simplify right side
    647,991x = 760,950,905,625
  5. Step 5: Solve for x
    x = 760,950,905,625/647,991
  6. Step 6: Final answer
    x = 1,174,323.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.