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Finding the Third Proportional to 266,474.81 and 409,593.38

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Solution

The third proportional to 266,474.81 and 409,593.38 is: 629,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,474.81 : 409,593.38 = 409,593.38 : x
  2. Step 2: Convert to fraction form
    266,474.81/409,593.38 = 409,593.38/x
  3. Step 3: Cross multiply
    266,474.81x = 409,593.38 × 409,593.38
  4. Step 4: Simplify right side
    266,474.81x = 167,766,732,843.89
  5. Step 5: Solve for x
    x = 167,766,732,843.89/266,474.81
  6. Step 6: Final answer
    x = 629,578.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.