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Finding the Third Proportional to 132,939 and 204,333

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Solution

The third proportional to 132,939 and 204,333 is: 314,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,939 : 204,333 = 204,333 : x
  2. Step 2: Convert to fraction form
    132,939/204,333 = 204,333/x
  3. Step 3: Cross multiply
    132,939x = 204,333 × 204,333
  4. Step 4: Simplify right side
    132,939x = 41,751,974,889
  5. Step 5: Solve for x
    x = 41,751,974,889/132,939
  6. Step 6: Final answer
    x = 314,068.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.