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Finding the Third Proportional to 63,867 and 136,910

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Solution

The third proportional to 63,867 and 136,910 is: 293,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,867 : 136,910 = 136,910 : x
  2. Step 2: Convert to fraction form
    63,867/136,910 = 136,910/x
  3. Step 3: Cross multiply
    63,867x = 136,910 × 136,910
  4. Step 4: Simplify right side
    63,867x = 18,744,348,100
  5. Step 5: Solve for x
    x = 18,744,348,100/63,867
  6. Step 6: Final answer
    x = 293,490.35

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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.