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Finding the Third Proportional to 135,648 and 207,504

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Solution

The third proportional to 135,648 and 207,504 is: 317,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648 : 207,504 = 207,504 : x
  2. Step 2: Convert to fraction form
    135,648/207,504 = 207,504/x
  3. Step 3: Cross multiply
    135,648x = 207,504 × 207,504
  4. Step 4: Simplify right side
    135,648x = 43,057,910,016
  5. Step 5: Solve for x
    x = 43,057,910,016/135,648
  6. Step 6: Final answer
    x = 317,423.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.