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Finding the Third Proportional to 490,126 and 749,608

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Solution

The third proportional to 490,126 and 749,608 is: 1,146,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,126 : 749,608 = 749,608 : x
  2. Step 2: Convert to fraction form
    490,126/749,608 = 749,608/x
  3. Step 3: Cross multiply
    490,126x = 749,608 × 749,608
  4. Step 4: Simplify right side
    490,126x = 561,912,153,664
  5. Step 5: Solve for x
    x = 561,912,153,664/490,126
  6. Step 6: Final answer
    x = 1,146,464.69

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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.