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Finding the Third Proportional to 206,889 and 316,356

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Solution

The third proportional to 206,889 and 316,356 is: 483,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,889 : 316,356 = 316,356 : x
  2. Step 2: Convert to fraction form
    206,889/316,356 = 316,356/x
  3. Step 3: Cross multiply
    206,889x = 316,356 × 316,356
  4. Step 4: Simplify right side
    206,889x = 100,081,118,736
  5. Step 5: Solve for x
    x = 100,081,118,736/206,889
  6. Step 6: Final answer
    x = 483,743.06

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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.