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Finding the Third Proportional to 135,765 and 298,293

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Solution

The third proportional to 135,765 and 298,293 is: 655,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,765 : 298,293 = 298,293 : x
  2. Step 2: Convert to fraction form
    135,765/298,293 = 298,293/x
  3. Step 3: Cross multiply
    135,765x = 298,293 × 298,293
  4. Step 4: Simplify right side
    135,765x = 88,978,713,849
  5. Step 5: Solve for x
    x = 88,978,713,849/135,765
  6. Step 6: Final answer
    x = 655,387.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.