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Finding the Third Proportional to 64,721 and 138,439

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Solution

The third proportional to 64,721 and 138,439 is: 296,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,721 : 138,439 = 138,439 : x
  2. Step 2: Convert to fraction form
    64,721/138,439 = 138,439/x
  3. Step 3: Cross multiply
    64,721x = 138,439 × 138,439
  4. Step 4: Simplify right side
    64,721x = 19,165,356,721
  5. Step 5: Solve for x
    x = 19,165,356,721/64,721
  6. Step 6: Final answer
    x = 296,122.69

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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.