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Finding the Third Proportional to 133,538 and 207,971

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Solution

The third proportional to 133,538 and 207,971 is: 323,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,538 : 207,971 = 207,971 : x
  2. Step 2: Convert to fraction form
    133,538/207,971 = 207,971/x
  3. Step 3: Cross multiply
    133,538x = 207,971 × 207,971
  4. Step 4: Simplify right side
    133,538x = 43,251,936,841
  5. Step 5: Solve for x
    x = 43,251,936,841/133,538
  6. Step 6: Final answer
    x = 323,892.35

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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.