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Finding the Third Proportional to 64,299 and 138,456

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Solution

The third proportional to 64,299 and 138,456 is: 298,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,299 : 138,456 = 138,456 : x
  2. Step 2: Convert to fraction form
    64,299/138,456 = 138,456/x
  3. Step 3: Cross multiply
    64,299x = 138,456 × 138,456
  4. Step 4: Simplify right side
    64,299x = 19,170,063,936
  5. Step 5: Solve for x
    x = 19,170,063,936/64,299
  6. Step 6: Final answer
    x = 298,139.38

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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.