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Finding the Third Proportional to 147,204 and 311,958

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Solution

The third proportional to 147,204 and 311,958 is: 661,108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,204 : 311,958 = 311,958 : x
  2. Step 2: Convert to fraction form
    147,204/311,958 = 311,958/x
  3. Step 3: Cross multiply
    147,204x = 311,958 × 311,958
  4. Step 4: Simplify right side
    147,204x = 97,317,793,764
  5. Step 5: Solve for x
    x = 97,317,793,764/147,204
  6. Step 6: Final answer
    x = 661,108.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.