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Finding the Third Proportional to 143,550 and 220,347

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Solution

The third proportional to 143,550 and 220,347 is: 338,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,550 : 220,347 = 220,347 : x
  2. Step 2: Convert to fraction form
    143,550/220,347 = 220,347/x
  3. Step 3: Cross multiply
    143,550x = 220,347 × 220,347
  4. Step 4: Simplify right side
    143,550x = 48,552,800,409
  5. Step 5: Solve for x
    x = 48,552,800,409/143,550
  6. Step 6: Final answer
    x = 338,229.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.