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Finding the Third Proportional to 30,197 and 66,368

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Solution

The third proportional to 30,197 and 66,368 is: 145,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197 : 66,368 = 66,368 : x
  2. Step 2: Convert to fraction form
    30,197/66,368 = 66,368/x
  3. Step 3: Cross multiply
    30,197x = 66,368 × 66,368
  4. Step 4: Simplify right side
    30,197x = 4,404,711,424
  5. Step 5: Solve for x
    x = 4,404,711,424/30,197
  6. Step 6: Final answer
    x = 145,865.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.