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Finding the Third Proportional to 206,884 and 316,342

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Solution

The third proportional to 206,884 and 316,342 is: 483,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,884 : 316,342 = 316,342 : x
  2. Step 2: Convert to fraction form
    206,884/316,342 = 316,342/x
  3. Step 3: Cross multiply
    206,884x = 316,342 × 316,342
  4. Step 4: Simplify right side
    206,884x = 100,072,260,964
  5. Step 5: Solve for x
    x = 100,072,260,964/206,884
  6. Step 6: Final answer
    x = 483,711.94

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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.