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Finding the Third Proportional to 550,477 and 775,197

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Solution

The third proportional to 550,477 and 775,197 is: 1,091,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,477 : 775,197 = 775,197 : x
  2. Step 2: Convert to fraction form
    550,477/775,197 = 775,197/x
  3. Step 3: Cross multiply
    550,477x = 775,197 × 775,197
  4. Step 4: Simplify right side
    550,477x = 600,930,388,809
  5. Step 5: Solve for x
    x = 600,930,388,809/550,477
  6. Step 6: Final answer
    x = 1,091,653.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.