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Finding the Third Proportional to 64,984 and 135,074

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Solution

The third proportional to 64,984 and 135,074 is: 280,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,984 : 135,074 = 135,074 : x
  2. Step 2: Convert to fraction form
    64,984/135,074 = 135,074/x
  3. Step 3: Cross multiply
    64,984x = 135,074 × 135,074
  4. Step 4: Simplify right side
    64,984x = 18,244,985,476
  5. Step 5: Solve for x
    x = 18,244,985,476/64,984
  6. Step 6: Final answer
    x = 280,761.19

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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.