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Finding the Third Proportional to 64,738 and 138,471

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Solution

The third proportional to 64,738 and 138,471 is: 296,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,738 : 138,471 = 138,471 : x
  2. Step 2: Convert to fraction form
    64,738/138,471 = 138,471/x
  3. Step 3: Cross multiply
    64,738x = 138,471 × 138,471
  4. Step 4: Simplify right side
    64,738x = 19,174,217,841
  5. Step 5: Solve for x
    x = 19,174,217,841/64,738
  6. Step 6: Final answer
    x = 296,181.81

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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.