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Finding the Third Proportional to 30,165 and 69,937.50

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Solution

The third proportional to 30,165 and 69,937.50 is: 162,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165 : 69,937.50 = 69,937.50 : x
  2. Step 2: Convert to fraction form
    30,165/69,937.50 = 69,937.50/x
  3. Step 3: Cross multiply
    30,165x = 69,937.50 × 69,937.50
  4. Step 4: Simplify right side
    30,165x = 4,891,253,906.25
  5. Step 5: Solve for x
    x = 4,891,253,906.25/30,165
  6. Step 6: Final answer
    x = 162,149.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.