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Finding the Third Proportional to 64,872 and 138,112

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Solution

The third proportional to 64,872 and 138,112 is: 294,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,872 : 138,112 = 138,112 : x
  2. Step 2: Convert to fraction form
    64,872/138,112 = 138,112/x
  3. Step 3: Cross multiply
    64,872x = 138,112 × 138,112
  4. Step 4: Simplify right side
    64,872x = 19,074,924,544
  5. Step 5: Solve for x
    x = 19,074,924,544/64,872
  6. Step 6: Final answer
    x = 294,039.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.