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Finding the Third Proportional to 290,233.13 and 439,728.75

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Solution

The third proportional to 290,233.13 and 439,728.75 is: 666,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,233.13 : 439,728.75 = 439,728.75 : x
  2. Step 2: Convert to fraction form
    290,233.13/439,728.75 = 439,728.75/x
  3. Step 3: Cross multiply
    290,233.13x = 439,728.75 × 439,728.75
  4. Step 4: Simplify right side
    290,233.13x = 193,361,373,576.56
  5. Step 5: Solve for x
    x = 193,361,373,576.56/290,233.13
  6. Step 6: Final answer
    x = 666,227.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.