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Finding the Third Proportional to 132,728 and 205,512

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Solution

The third proportional to 132,728 and 205,512 is: 318,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,728 : 205,512 = 205,512 : x
  2. Step 2: Convert to fraction form
    132,728/205,512 = 205,512/x
  3. Step 3: Cross multiply
    132,728x = 205,512 × 205,512
  4. Step 4: Simplify right side
    132,728x = 42,235,182,144
  5. Step 5: Solve for x
    x = 42,235,182,144/132,728
  6. Step 6: Final answer
    x = 318,208.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.