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Finding the Third Proportional to 64,876 and 134,612

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Solution

The third proportional to 64,876 and 134,612 is: 279,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,876 : 134,612 = 134,612 : x
  2. Step 2: Convert to fraction form
    64,876/134,612 = 134,612/x
  3. Step 3: Cross multiply
    64,876x = 134,612 × 134,612
  4. Step 4: Simplify right side
    64,876x = 18,120,390,544
  5. Step 5: Solve for x
    x = 18,120,390,544/64,876
  6. Step 6: Final answer
    x = 279,308.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.