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Finding the Third Proportional to 206,408 and 319,008

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Solution

The third proportional to 206,408 and 319,008 is: 493,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,408 : 319,008 = 319,008 : x
  2. Step 2: Convert to fraction form
    206,408/319,008 = 319,008/x
  3. Step 3: Cross multiply
    206,408x = 319,008 × 319,008
  4. Step 4: Simplify right side
    206,408x = 101,766,104,064
  5. Step 5: Solve for x
    x = 101,766,104,064/206,408
  6. Step 6: Final answer
    x = 493,033.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.