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Finding the Third Proportional to 135,231 and 288,555

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Solution

The third proportional to 135,231 and 288,555 is: 615,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,231 : 288,555 = 288,555 : x
  2. Step 2: Convert to fraction form
    135,231/288,555 = 288,555/x
  3. Step 3: Cross multiply
    135,231x = 288,555 × 288,555
  4. Step 4: Simplify right side
    135,231x = 83,263,988,025
  5. Step 5: Solve for x
    x = 83,263,988,025/135,231
  6. Step 6: Final answer
    x = 615,716.72

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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.