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Finding the Third Proportional to 550,509 and 804,519

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Solution

The third proportional to 550,509 and 804,519 is: 1,175,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,509 : 804,519 = 804,519 : x
  2. Step 2: Convert to fraction form
    550,509/804,519 = 804,519/x
  3. Step 3: Cross multiply
    550,509x = 804,519 × 804,519
  4. Step 4: Simplify right side
    550,509x = 647,250,821,361
  5. Step 5: Solve for x
    x = 647,250,821,361/550,509
  6. Step 6: Final answer
    x = 1,175,731.59

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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.