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Finding the Third Proportional to 133,790 and 206,565

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Solution

The third proportional to 133,790 and 206,565 is: 318,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,790 : 206,565 = 206,565 : x
  2. Step 2: Convert to fraction form
    133,790/206,565 = 206,565/x
  3. Step 3: Cross multiply
    133,790x = 206,565 × 206,565
  4. Step 4: Simplify right side
    133,790x = 42,669,099,225
  5. Step 5: Solve for x
    x = 42,669,099,225/133,790
  6. Step 6: Final answer
    x = 318,925.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.