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Finding the Third Proportional to 64,212 and 136,734

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Solution

The third proportional to 64,212 and 136,734 is: 291,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,212 : 136,734 = 136,734 : x
  2. Step 2: Convert to fraction form
    64,212/136,734 = 136,734/x
  3. Step 3: Cross multiply
    64,212x = 136,734 × 136,734
  4. Step 4: Simplify right side
    64,212x = 18,696,186,756
  5. Step 5: Solve for x
    x = 18,696,186,756/64,212
  6. Step 6: Final answer
    x = 291,163.44

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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.