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Finding the Third Proportional to 64,702 and 138,852

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Solution

The third proportional to 64,702 and 138,852 is: 297,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,702 : 138,852 = 138,852 : x
  2. Step 2: Convert to fraction form
    64,702/138,852 = 138,852/x
  3. Step 3: Cross multiply
    64,702x = 138,852 × 138,852
  4. Step 4: Simplify right side
    64,702x = 19,279,877,904
  5. Step 5: Solve for x
    x = 19,279,877,904/64,702
  6. Step 6: Final answer
    x = 297,979.63

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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.