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Finding the Third Proportional to 63,860 and 138,910

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Solution

The third proportional to 63,860 and 138,910 is: 302,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,860 : 138,910 = 138,910 : x
  2. Step 2: Convert to fraction form
    63,860/138,910 = 138,910/x
  3. Step 3: Cross multiply
    63,860x = 138,910 × 138,910
  4. Step 4: Simplify right side
    63,860x = 19,295,988,100
  5. Step 5: Solve for x
    x = 19,295,988,100/63,860
  6. Step 6: Final answer
    x = 302,160.79

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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.