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Finding the Third Proportional to 197,615 and 439,443

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Solution

The third proportional to 197,615 and 439,443 is: 977,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,615 : 439,443 = 439,443 : x
  2. Step 2: Convert to fraction form
    197,615/439,443 = 439,443/x
  3. Step 3: Cross multiply
    197,615x = 439,443 × 439,443
  4. Step 4: Simplify right side
    197,615x = 193,110,150,249
  5. Step 5: Solve for x
    x = 193,110,150,249/197,615
  6. Step 6: Final answer
    x = 977,203.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.