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Finding the Third Proportional to 135,238 and 288,568

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Solution

The third proportional to 135,238 and 288,568 is: 615,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,238 : 288,568 = 288,568 : x
  2. Step 2: Convert to fraction form
    135,238/288,568 = 288,568/x
  3. Step 3: Cross multiply
    135,238x = 288,568 × 288,568
  4. Step 4: Simplify right side
    135,238x = 83,271,490,624
  5. Step 5: Solve for x
    x = 83,271,490,624/135,238
  6. Step 6: Final answer
    x = 615,740.33

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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.