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Finding the Third Proportional to 64,832 and 138,644

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Solution

The third proportional to 64,832 and 138,644 is: 296,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,832 : 138,644 = 138,644 : x
  2. Step 2: Convert to fraction form
    64,832/138,644 = 138,644/x
  3. Step 3: Cross multiply
    64,832x = 138,644 × 138,644
  4. Step 4: Simplify right side
    64,832x = 19,222,158,736
  5. Step 5: Solve for x
    x = 19,222,158,736/64,832
  6. Step 6: Final answer
    x = 296,491.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.