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Finding the Third Proportional to 30,832.50 and 66,345

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Solution

The third proportional to 30,832.50 and 66,345 is: 142,760.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.50 : 66,345 = 66,345 : x
  2. Step 2: Convert to fraction form
    30,832.50/66,345 = 66,345/x
  3. Step 3: Cross multiply
    30,832.50x = 66,345 × 66,345
  4. Step 4: Simplify right side
    30,832.50x = 4,401,659,025
  5. Step 5: Solve for x
    x = 4,401,659,025/30,832.50
  6. Step 6: Final answer
    x = 142,760.37

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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.