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Finding the Third Proportional to 132,812 and 205,644

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Solution

The third proportional to 132,812 and 205,644 is: 318,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,812 : 205,644 = 205,644 : x
  2. Step 2: Convert to fraction form
    132,812/205,644 = 205,644/x
  3. Step 3: Cross multiply
    132,812x = 205,644 × 205,644
  4. Step 4: Simplify right side
    132,812x = 42,289,454,736
  5. Step 5: Solve for x
    x = 42,289,454,736/132,812
  6. Step 6: Final answer
    x = 318,415.92

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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.