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Finding the Third Proportional to 64,760 and 138,736

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Solution

The third proportional to 64,760 and 138,736 is: 297,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,760 : 138,736 = 138,736 : x
  2. Step 2: Convert to fraction form
    64,760/138,736 = 138,736/x
  3. Step 3: Cross multiply
    64,760x = 138,736 × 138,736
  4. Step 4: Simplify right side
    64,760x = 19,247,677,696
  5. Step 5: Solve for x
    x = 19,247,677,696/64,760
  6. Step 6: Final answer
    x = 297,215.53

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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.