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Finding the Third Proportional to 206,962 and 316,458

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Solution

The third proportional to 206,962 and 316,458 is: 483,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,962 : 316,458 = 316,458 : x
  2. Step 2: Convert to fraction form
    206,962/316,458 = 316,458/x
  3. Step 3: Cross multiply
    206,962x = 316,458 × 316,458
  4. Step 4: Simplify right side
    206,962x = 100,145,665,764
  5. Step 5: Solve for x
    x = 100,145,665,764/206,962
  6. Step 6: Final answer
    x = 483,884.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.