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Finding the Third Proportional to 627,728 and 805,992

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Solution

The third proportional to 627,728 and 805,992 is: 1,034,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,728 : 805,992 = 805,992 : x
  2. Step 2: Convert to fraction form
    627,728/805,992 = 805,992/x
  3. Step 3: Cross multiply
    627,728x = 805,992 × 805,992
  4. Step 4: Simplify right side
    627,728x = 649,623,104,064
  5. Step 5: Solve for x
    x = 649,623,104,064/627,728
  6. Step 6: Final answer
    x = 1,034,879.92

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.