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Finding the Third Proportional to 550,498 and 850,800

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Solution

The third proportional to 550,498 and 850,800 is: 1,314,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,498 : 850,800 = 850,800 : x
  2. Step 2: Convert to fraction form
    550,498/850,800 = 850,800/x
  3. Step 3: Cross multiply
    550,498x = 850,800 × 850,800
  4. Step 4: Simplify right side
    550,498x = 723,860,640,000
  5. Step 5: Solve for x
    x = 723,860,640,000/550,498
  6. Step 6: Final answer
    x = 1,314,919.65

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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.