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Finding the Third Proportional to 30,792 and 66,188

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Solution

The third proportional to 30,792 and 66,188 is: 142,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792 : 66,188 = 66,188 : x
  2. Step 2: Convert to fraction form
    30,792/66,188 = 66,188/x
  3. Step 3: Cross multiply
    30,792x = 66,188 × 66,188
  4. Step 4: Simplify right side
    30,792x = 4,380,851,344
  5. Step 5: Solve for x
    x = 4,380,851,344/30,792
  6. Step 6: Final answer
    x = 142,272.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.