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Finding the Third Proportional to 64,620 and 135,096

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Solution

The third proportional to 64,620 and 135,096 is: 282,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,620 : 135,096 = 135,096 : x
  2. Step 2: Convert to fraction form
    64,620/135,096 = 135,096/x
  3. Step 3: Cross multiply
    64,620x = 135,096 × 135,096
  4. Step 4: Simplify right side
    64,620x = 18,250,929,216
  5. Step 5: Solve for x
    x = 18,250,929,216/64,620
  6. Step 6: Final answer
    x = 282,434.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.