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Finding the Third Proportional to 490,122 and 749,601

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Solution

The third proportional to 490,122 and 749,601 is: 1,146,452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,122 : 749,601 = 749,601 : x
  2. Step 2: Convert to fraction form
    490,122/749,601 = 749,601/x
  3. Step 3: Cross multiply
    490,122x = 749,601 × 749,601
  4. Step 4: Simplify right side
    490,122x = 561,901,659,201
  5. Step 5: Solve for x
    x = 561,901,659,201/490,122
  6. Step 6: Final answer
    x = 1,146,452.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.