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Finding the Third Proportional to 64,810 and 138,608

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Solution

The third proportional to 64,810 and 138,608 is: 296,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,810 : 138,608 = 138,608 : x
  2. Step 2: Convert to fraction form
    64,810/138,608 = 138,608/x
  3. Step 3: Cross multiply
    64,810x = 138,608 × 138,608
  4. Step 4: Simplify right side
    64,810x = 19,212,177,664
  5. Step 5: Solve for x
    x = 19,212,177,664/64,810
  6. Step 6: Final answer
    x = 296,438.48

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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.