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Finding the Third Proportional to 63,630 and 138,196

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Solution

The third proportional to 63,630 and 138,196 is: 300,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,630 : 138,196 = 138,196 : x
  2. Step 2: Convert to fraction form
    63,630/138,196 = 138,196/x
  3. Step 3: Cross multiply
    63,630x = 138,196 × 138,196
  4. Step 4: Simplify right side
    63,630x = 19,098,134,416
  5. Step 5: Solve for x
    x = 19,098,134,416/63,630
  6. Step 6: Final answer
    x = 300,143.56

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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.