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Finding the Third Proportional to 63,638 and 138,236

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Solution

The third proportional to 63,638 and 138,236 is: 300,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,638 : 138,236 = 138,236 : x
  2. Step 2: Convert to fraction form
    63,638/138,236 = 138,236/x
  3. Step 3: Cross multiply
    63,638x = 138,236 × 138,236
  4. Step 4: Simplify right side
    63,638x = 19,109,191,696
  5. Step 5: Solve for x
    x = 19,109,191,696/63,638
  6. Step 6: Final answer
    x = 300,279.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.