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Finding the Third Proportional to 142,170 and 213,615

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Solution

The third proportional to 142,170 and 213,615 is: 320,963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,170 : 213,615 = 213,615 : x
  2. Step 2: Convert to fraction form
    142,170/213,615 = 213,615/x
  3. Step 3: Cross multiply
    142,170x = 213,615 × 213,615
  4. Step 4: Simplify right side
    142,170x = 45,631,368,225
  5. Step 5: Solve for x
    x = 45,631,368,225/142,170
  6. Step 6: Final answer
    x = 320,963.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.