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Finding the Third Proportional to 64,194 and 138,540

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Solution

The third proportional to 64,194 and 138,540 is: 298,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,194 : 138,540 = 138,540 : x
  2. Step 2: Convert to fraction form
    64,194/138,540 = 138,540/x
  3. Step 3: Cross multiply
    64,194x = 138,540 × 138,540
  4. Step 4: Simplify right side
    64,194x = 19,193,331,600
  5. Step 5: Solve for x
    x = 19,193,331,600/64,194
  6. Step 6: Final answer
    x = 298,989.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.