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Finding the Third Proportional to 132,880 and 205,962

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Solution

The third proportional to 132,880 and 205,962 is: 319,238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,880 : 205,962 = 205,962 : x
  2. Step 2: Convert to fraction form
    132,880/205,962 = 205,962/x
  3. Step 3: Cross multiply
    132,880x = 205,962 × 205,962
  4. Step 4: Simplify right side
    132,880x = 42,420,345,444
  5. Step 5: Solve for x
    x = 42,420,345,444/132,880
  6. Step 6: Final answer
    x = 319,238.00

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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.