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Finding the Third Proportional to 133,099 and 206,210

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Solution

The third proportional to 133,099 and 206,210 is: 319,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,099 : 206,210 = 206,210 : x
  2. Step 2: Convert to fraction form
    133,099/206,210 = 206,210/x
  3. Step 3: Cross multiply
    133,099x = 206,210 × 206,210
  4. Step 4: Simplify right side
    133,099x = 42,522,564,100
  5. Step 5: Solve for x
    x = 42,522,564,100/133,099
  6. Step 6: Final answer
    x = 319,480.72

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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.