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Finding the Third Proportional to 135,872 and 297,961

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Solution

The third proportional to 135,872 and 297,961 is: 653,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,872 : 297,961 = 297,961 : x
  2. Step 2: Convert to fraction form
    135,872/297,961 = 297,961/x
  3. Step 3: Cross multiply
    135,872x = 297,961 × 297,961
  4. Step 4: Simplify right side
    135,872x = 88,780,757,521
  5. Step 5: Solve for x
    x = 88,780,757,521/135,872
  6. Step 6: Final answer
    x = 653,414.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.