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Finding the Third Proportional to 133,450 and 207,829

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Solution

The third proportional to 133,450 and 207,829 is: 323,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,450 : 207,829 = 207,829 : x
  2. Step 2: Convert to fraction form
    133,450/207,829 = 207,829/x
  3. Step 3: Cross multiply
    133,450x = 207,829 × 207,829
  4. Step 4: Simplify right side
    133,450x = 43,192,893,241
  5. Step 5: Solve for x
    x = 43,192,893,241/133,450
  6. Step 6: Final answer
    x = 323,663.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.