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Finding the Third Proportional to 206,885 and 316,349

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Solution

The third proportional to 206,885 and 316,349 is: 483,731.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,885 : 316,349 = 316,349 : x
  2. Step 2: Convert to fraction form
    206,885/316,349 = 316,349/x
  3. Step 3: Cross multiply
    206,885x = 316,349 × 316,349
  4. Step 4: Simplify right side
    206,885x = 100,076,689,801
  5. Step 5: Solve for x
    x = 100,076,689,801/206,885
  6. Step 6: Final answer
    x = 483,731.01

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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.