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Finding the Third Proportional to 143,551 and 220,349

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Solution

The third proportional to 143,551 and 220,349 is: 338,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,551 : 220,349 = 220,349 : x
  2. Step 2: Convert to fraction form
    143,551/220,349 = 220,349/x
  3. Step 3: Cross multiply
    143,551x = 220,349 × 220,349
  4. Step 4: Simplify right side
    143,551x = 48,553,681,801
  5. Step 5: Solve for x
    x = 48,553,681,801/143,551
  6. Step 6: Final answer
    x = 338,232.98

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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.