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Finding the Third Proportional to 64,662 and 135,642

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Solution

The third proportional to 64,662 and 135,642 is: 284,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,662 : 135,642 = 135,642 : x
  2. Step 2: Convert to fraction form
    64,662/135,642 = 135,642/x
  3. Step 3: Cross multiply
    64,662x = 135,642 × 135,642
  4. Step 4: Simplify right side
    64,662x = 18,398,752,164
  5. Step 5: Solve for x
    x = 18,398,752,164/64,662
  6. Step 6: Final answer
    x = 284,537.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.