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Finding the Third Proportional to 288,294.75 and 439,548.75

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Solution

The third proportional to 288,294.75 and 439,548.75 is: 670,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,294.75 : 439,548.75 = 439,548.75 : x
  2. Step 2: Convert to fraction form
    288,294.75/439,548.75 = 439,548.75/x
  3. Step 3: Cross multiply
    288,294.75x = 439,548.75 × 439,548.75
  4. Step 4: Simplify right side
    288,294.75x = 193,203,103,626.56
  5. Step 5: Solve for x
    x = 193,203,103,626.56/288,294.75
  6. Step 6: Final answer
    x = 670,158.24

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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.