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Finding the Third Proportional to 206,611 and 319,029

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Solution

The third proportional to 206,611 and 319,029 is: 492,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,611 : 319,029 = 319,029 : x
  2. Step 2: Convert to fraction form
    206,611/319,029 = 319,029/x
  3. Step 3: Cross multiply
    206,611x = 319,029 × 319,029
  4. Step 4: Simplify right side
    206,611x = 101,779,502,841
  5. Step 5: Solve for x
    x = 101,779,502,841/206,611
  6. Step 6: Final answer
    x = 492,614.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.