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Finding the Third Proportional to 133,532 and 207,957

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Solution

The third proportional to 133,532 and 207,957 is: 323,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,532 : 207,957 = 207,957 : x
  2. Step 2: Convert to fraction form
    133,532/207,957 = 207,957/x
  3. Step 3: Cross multiply
    133,532x = 207,957 × 207,957
  4. Step 4: Simplify right side
    133,532x = 43,246,113,849
  5. Step 5: Solve for x
    x = 43,246,113,849/133,532
  6. Step 6: Final answer
    x = 323,863.30

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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.