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Finding the Third Proportional to 142,177 and 213,620

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Solution

The third proportional to 142,177 and 213,620 is: 320,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,177 : 213,620 = 213,620 : x
  2. Step 2: Convert to fraction form
    142,177/213,620 = 213,620/x
  3. Step 3: Cross multiply
    142,177x = 213,620 × 213,620
  4. Step 4: Simplify right side
    142,177x = 45,633,504,400
  5. Step 5: Solve for x
    x = 45,633,504,400/142,177
  6. Step 6: Final answer
    x = 320,962.63

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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.