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Finding the Third Proportional to 64,929 and 135,051

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Solution

The third proportional to 64,929 and 135,051 is: 280,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,929 : 135,051 = 135,051 : x
  2. Step 2: Convert to fraction form
    64,929/135,051 = 135,051/x
  3. Step 3: Cross multiply
    64,929x = 135,051 × 135,051
  4. Step 4: Simplify right side
    64,929x = 18,238,772,601
  5. Step 5: Solve for x
    x = 18,238,772,601/64,929
  6. Step 6: Final answer
    x = 280,903.33

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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.