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Finding the Third Proportional to 206,425 and 319,031

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Solution

The third proportional to 206,425 and 319,031 is: 493,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,425 : 319,031 = 319,031 : x
  2. Step 2: Convert to fraction form
    206,425/319,031 = 319,031/x
  3. Step 3: Cross multiply
    206,425x = 319,031 × 319,031
  4. Step 4: Simplify right side
    206,425x = 101,780,778,961
  5. Step 5: Solve for x
    x = 101,780,778,961/206,425
  6. Step 6: Final answer
    x = 493,064.21

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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.