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Finding the Third Proportional to 80,599 and 121,205

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Solution

The third proportional to 80,599 and 121,205 is: 182,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,599 : 121,205 = 121,205 : x
  2. Step 2: Convert to fraction form
    80,599/121,205 = 121,205/x
  3. Step 3: Cross multiply
    80,599x = 121,205 × 121,205
  4. Step 4: Simplify right side
    80,599x = 14,690,652,025
  5. Step 5: Solve for x
    x = 14,690,652,025/80,599
  6. Step 6: Final answer
    x = 182,268.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.