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Finding the Third Proportional to 206,449 and 319,070

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Solution

The third proportional to 206,449 and 319,070 is: 493,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,449 : 319,070 = 319,070 : x
  2. Step 2: Convert to fraction form
    206,449/319,070 = 319,070/x
  3. Step 3: Cross multiply
    206,449x = 319,070 × 319,070
  4. Step 4: Simplify right side
    206,449x = 101,805,664,900
  5. Step 5: Solve for x
    x = 101,805,664,900/206,449
  6. Step 6: Final answer
    x = 493,127.43

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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.