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Finding the Third Proportional to 64,930 and 135,056

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Solution

The third proportional to 64,930 and 135,056 is: 280,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,930 : 135,056 = 135,056 : x
  2. Step 2: Convert to fraction form
    64,930/135,056 = 135,056/x
  3. Step 3: Cross multiply
    64,930x = 135,056 × 135,056
  4. Step 4: Simplify right side
    64,930x = 18,240,123,136
  5. Step 5: Solve for x
    x = 18,240,123,136/64,930
  6. Step 6: Final answer
    x = 280,919.81

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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.