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Finding the Third Proportional to 63,615 and 138,165

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Solution

The third proportional to 63,615 and 138,165 is: 300,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,615 : 138,165 = 138,165 : x
  2. Step 2: Convert to fraction form
    63,615/138,165 = 138,165/x
  3. Step 3: Cross multiply
    63,615x = 138,165 × 138,165
  4. Step 4: Simplify right side
    63,615x = 19,089,567,225
  5. Step 5: Solve for x
    x = 19,089,567,225/63,615
  6. Step 6: Final answer
    x = 300,079.65

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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.