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Finding the Third Proportional to 206,855 and 316,299

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Solution

The third proportional to 206,855 and 316,299 is: 483,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,855 : 316,299 = 316,299 : x
  2. Step 2: Convert to fraction form
    206,855/316,299 = 316,299/x
  3. Step 3: Cross multiply
    206,855x = 316,299 × 316,299
  4. Step 4: Simplify right side
    206,855x = 100,045,057,401
  5. Step 5: Solve for x
    x = 100,045,057,401/206,855
  6. Step 6: Final answer
    x = 483,648.24

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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.