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Finding the Third Proportional to 550,509 and 804,517

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Solution

The third proportional to 550,509 and 804,517 is: 1,175,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,509 : 804,517 = 804,517 : x
  2. Step 2: Convert to fraction form
    550,509/804,517 = 804,517/x
  3. Step 3: Cross multiply
    550,509x = 804,517 × 804,517
  4. Step 4: Simplify right side
    550,509x = 647,247,603,289
  5. Step 5: Solve for x
    x = 647,247,603,289/550,509
  6. Step 6: Final answer
    x = 1,175,725.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.