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Finding the Third Proportional to 135,213.75 and 288,525

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Solution

The third proportional to 135,213.75 and 288,525 is: 615,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,213.75 : 288,525 = 288,525 : x
  2. Step 2: Convert to fraction form
    135,213.75/288,525 = 288,525/x
  3. Step 3: Cross multiply
    135,213.75x = 288,525 × 288,525
  4. Step 4: Simplify right side
    135,213.75x = 83,246,675,625
  5. Step 5: Solve for x
    x = 83,246,675,625/135,213.75
  6. Step 6: Final answer
    x = 615,667.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.