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Finding the Third Proportional to 64,912 and 138,194

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Solution

The third proportional to 64,912 and 138,194 is: 294,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,912 : 138,194 = 138,194 : x
  2. Step 2: Convert to fraction form
    64,912/138,194 = 138,194/x
  3. Step 3: Cross multiply
    64,912x = 138,194 × 138,194
  4. Step 4: Simplify right side
    64,912x = 19,097,581,636
  5. Step 5: Solve for x
    x = 19,097,581,636/64,912
  6. Step 6: Final answer
    x = 294,207.26

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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.