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Finding the Third Proportional to 30,812 and 66,374

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Solution

The third proportional to 30,812 and 66,374 is: 142,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812 : 66,374 = 66,374 : x
  2. Step 2: Convert to fraction form
    30,812/66,374 = 66,374/x
  3. Step 3: Cross multiply
    30,812x = 66,374 × 66,374
  4. Step 4: Simplify right side
    30,812x = 4,405,507,876
  5. Step 5: Solve for x
    x = 4,405,507,876/30,812
  6. Step 6: Final answer
    x = 142,980.26

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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.