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Finding the Third Proportional to 63,760 and 138,697

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Solution

The third proportional to 63,760 and 138,697 is: 301,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,760 : 138,697 = 138,697 : x
  2. Step 2: Convert to fraction form
    63,760/138,697 = 138,697/x
  3. Step 3: Cross multiply
    63,760x = 138,697 × 138,697
  4. Step 4: Simplify right side
    63,760x = 19,236,857,809
  5. Step 5: Solve for x
    x = 19,236,857,809/63,760
  6. Step 6: Final answer
    x = 301,707.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.