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Finding the Third Proportional to 64,990 and 135,086

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Solution

The third proportional to 64,990 and 135,086 is: 280,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,990 : 135,086 = 135,086 : x
  2. Step 2: Convert to fraction form
    64,990/135,086 = 135,086/x
  3. Step 3: Cross multiply
    64,990x = 135,086 × 135,086
  4. Step 4: Simplify right side
    64,990x = 18,248,227,396
  5. Step 5: Solve for x
    x = 18,248,227,396/64,990
  6. Step 6: Final answer
    x = 280,785.16

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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.