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Finding the Third Proportional to 30,696 and 66,225

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Solution

The third proportional to 30,696 and 66,225 is: 142,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696 : 66,225 = 66,225 : x
  2. Step 2: Convert to fraction form
    30,696/66,225 = 66,225/x
  3. Step 3: Cross multiply
    30,696x = 66,225 × 66,225
  4. Step 4: Simplify right side
    30,696x = 4,385,750,625
  5. Step 5: Solve for x
    x = 4,385,750,625/30,696
  6. Step 6: Final answer
    x = 142,876.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.