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Finding the Third Proportional to 493,505 and 743,903

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Solution

The third proportional to 493,505 and 743,903 is: 1,121,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,505 : 743,903 = 743,903 : x
  2. Step 2: Convert to fraction form
    493,505/743,903 = 743,903/x
  3. Step 3: Cross multiply
    493,505x = 743,903 × 743,903
  4. Step 4: Simplify right side
    493,505x = 553,391,673,409
  5. Step 5: Solve for x
    x = 553,391,673,409/493,505
  6. Step 6: Final answer
    x = 1,121,349.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.