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Finding the Third Proportional to 133,532 and 206,690

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Solution

The third proportional to 133,532 and 206,690 is: 319,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,532 : 206,690 = 206,690 : x
  2. Step 2: Convert to fraction form
    133,532/206,690 = 206,690/x
  3. Step 3: Cross multiply
    133,532x = 206,690 × 206,690
  4. Step 4: Simplify right side
    133,532x = 42,720,756,100
  5. Step 5: Solve for x
    x = 42,720,756,100/133,532
  6. Step 6: Final answer
    x = 319,928.98

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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.