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Finding the Third Proportional to 490,074 and 735,311

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Solution

The third proportional to 490,074 and 735,311 is: 1,103,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,074 : 735,311 = 735,311 : x
  2. Step 2: Convert to fraction form
    490,074/735,311 = 735,311/x
  3. Step 3: Cross multiply
    490,074x = 735,311 × 735,311
  4. Step 4: Simplify right side
    490,074x = 540,682,266,721
  5. Step 5: Solve for x
    x = 540,682,266,721/490,074
  6. Step 6: Final answer
    x = 1,103,266.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.