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Finding the Third Proportional to 143,964 and 215,847

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Solution

The third proportional to 143,964 and 215,847 is: 323,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,964 : 215,847 = 215,847 : x
  2. Step 2: Convert to fraction form
    143,964/215,847 = 215,847/x
  3. Step 3: Cross multiply
    143,964x = 215,847 × 215,847
  4. Step 4: Simplify right side
    143,964x = 46,589,927,409
  5. Step 5: Solve for x
    x = 46,589,927,409/143,964
  6. Step 6: Final answer
    x = 323,622.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.