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Finding the Third Proportional to 66,400 and 102,812

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Solution

The third proportional to 66,400 and 102,812 is: 159,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,400 : 102,812 = 102,812 : x
  2. Step 2: Convert to fraction form
    66,400/102,812 = 102,812/x
  3. Step 3: Cross multiply
    66,400x = 102,812 × 102,812
  4. Step 4: Simplify right side
    66,400x = 10,570,307,344
  5. Step 5: Solve for x
    x = 10,570,307,344/66,400
  6. Step 6: Final answer
    x = 159,191.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.