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Finding the Third Proportional to 64,858 and 138,086

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Solution

The third proportional to 64,858 and 138,086 is: 293,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,858 : 138,086 = 138,086 : x
  2. Step 2: Convert to fraction form
    64,858/138,086 = 138,086/x
  3. Step 3: Cross multiply
    64,858x = 138,086 × 138,086
  4. Step 4: Simplify right side
    64,858x = 19,067,743,396
  5. Step 5: Solve for x
    x = 19,067,743,396/64,858
  6. Step 6: Final answer
    x = 293,992.16

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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.