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Finding the Third Proportional to 400,524.75 and 619,965

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Solution

The third proportional to 400,524.75 and 619,965 is: 959,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,524.75 : 619,965 = 619,965 : x
  2. Step 2: Convert to fraction form
    400,524.75/619,965 = 619,965/x
  3. Step 3: Cross multiply
    400,524.75x = 619,965 × 619,965
  4. Step 4: Simplify right side
    400,524.75x = 384,356,601,225
  5. Step 5: Solve for x
    x = 384,356,601,225/400,524.75
  6. Step 6: Final answer
    x = 959,632.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.