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Finding the Third Proportional to 206,886 and 316,341

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Solution

The third proportional to 206,886 and 316,341 is: 483,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,886 : 316,341 = 316,341 : x
  2. Step 2: Convert to fraction form
    206,886/316,341 = 316,341/x
  3. Step 3: Cross multiply
    206,886x = 316,341 × 316,341
  4. Step 4: Simplify right side
    206,886x = 100,071,628,281
  5. Step 5: Solve for x
    x = 100,071,628,281/206,886
  6. Step 6: Final answer
    x = 483,704.21

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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.