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Finding the Third Proportional to 401,715 and 550,839

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Solution

The third proportional to 401,715 and 550,839 is: 755,320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,715 : 550,839 = 550,839 : x
  2. Step 2: Convert to fraction form
    401,715/550,839 = 550,839/x
  3. Step 3: Cross multiply
    401,715x = 550,839 × 550,839
  4. Step 4: Simplify right side
    401,715x = 303,423,603,921
  5. Step 5: Solve for x
    x = 303,423,603,921/401,715
  6. Step 6: Final answer
    x = 755,320.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.