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Finding the Third Proportional to 64,986 and 135,078

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Solution

The third proportional to 64,986 and 135,078 is: 280,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,986 : 135,078 = 135,078 : x
  2. Step 2: Convert to fraction form
    64,986/135,078 = 135,078/x
  3. Step 3: Cross multiply
    64,986x = 135,078 × 135,078
  4. Step 4: Simplify right side
    64,986x = 18,246,066,084
  5. Step 5: Solve for x
    x = 18,246,066,084/64,986
  6. Step 6: Final answer
    x = 280,769.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.