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Finding the Third Proportional to 39,228 and 91,620

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Solution

The third proportional to 39,228 and 91,620 is: 213,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,228 : 91,620 = 91,620 : x
  2. Step 2: Convert to fraction form
    39,228/91,620 = 91,620/x
  3. Step 3: Cross multiply
    39,228x = 91,620 × 91,620
  4. Step 4: Simplify right side
    39,228x = 8,394,224,400
  5. Step 5: Solve for x
    x = 8,394,224,400/39,228
  6. Step 6: Final answer
    x = 213,985.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.