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Finding the Third Proportional to 63,665 and 134,919

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Solution

The third proportional to 63,665 and 134,919 is: 285,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,665 : 134,919 = 134,919 : x
  2. Step 2: Convert to fraction form
    63,665/134,919 = 134,919/x
  3. Step 3: Cross multiply
    63,665x = 134,919 × 134,919
  4. Step 4: Simplify right side
    63,665x = 18,203,136,561
  5. Step 5: Solve for x
    x = 18,203,136,561/63,665
  6. Step 6: Final answer
    x = 285,920.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.