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Finding the Third Proportional to 133,536 and 207,962

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Solution

The third proportional to 133,536 and 207,962 is: 323,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,536 : 207,962 = 207,962 : x
  2. Step 2: Convert to fraction form
    133,536/207,962 = 207,962/x
  3. Step 3: Cross multiply
    133,536x = 207,962 × 207,962
  4. Step 4: Simplify right side
    133,536x = 43,248,193,444
  5. Step 5: Solve for x
    x = 43,248,193,444/133,536
  6. Step 6: Final answer
    x = 323,869.17

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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.