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Finding the Third Proportional to 131,670 and 200,745

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Solution

The third proportional to 131,670 and 200,745 is: 306,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,670 : 200,745 = 200,745 : x
  2. Step 2: Convert to fraction form
    131,670/200,745 = 200,745/x
  3. Step 3: Cross multiply
    131,670x = 200,745 × 200,745
  4. Step 4: Simplify right side
    131,670x = 40,298,555,025
  5. Step 5: Solve for x
    x = 40,298,555,025/131,670
  6. Step 6: Final answer
    x = 306,057.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.