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Finding the Third Proportional to 303,337 and 455,978

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Solution

The third proportional to 303,337 and 455,978 is: 685,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,337 : 455,978 = 455,978 : x
  2. Step 2: Convert to fraction form
    303,337/455,978 = 455,978/x
  3. Step 3: Cross multiply
    303,337x = 455,978 × 455,978
  4. Step 4: Simplify right side
    303,337x = 207,915,936,484
  5. Step 5: Solve for x
    x = 207,915,936,484/303,337
  6. Step 6: Final answer
    x = 685,428.87

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