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Finding the Third Proportional to 266,465.11 and 409,581.56

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Solution

The third proportional to 266,465.11 and 409,581.56 is: 629,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,465.11 : 409,581.56 = 409,581.56 : x
  2. Step 2: Convert to fraction form
    266,465.11/409,581.56 = 409,581.56/x
  3. Step 3: Cross multiply
    266,465.11x = 409,581.56 × 409,581.56
  4. Step 4: Simplify right side
    266,465.11x = 167,757,056,339.94
  5. Step 5: Solve for x
    x = 167,757,056,339.94/266,465.11
  6. Step 6: Final answer
    x = 629,564.81

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Why These Related Problems?

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