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Finding the Third Proportional to 64,099 and 138,054

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Solution

The third proportional to 64,099 and 138,054 is: 297,335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,099 : 138,054 = 138,054 : x
  2. Step 2: Convert to fraction form
    64,099/138,054 = 138,054/x
  3. Step 3: Cross multiply
    64,099x = 138,054 × 138,054
  4. Step 4: Simplify right side
    64,099x = 19,058,906,916
  5. Step 5: Solve for x
    x = 19,058,906,916/64,099
  6. Step 6: Final answer
    x = 297,335.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.