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Finding the Third Proportional to 207,839 and 322,460

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Solution

The third proportional to 207,839 and 322,460 is: 500,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,839 : 322,460 = 322,460 : x
  2. Step 2: Convert to fraction form
    207,839/322,460 = 322,460/x
  3. Step 3: Cross multiply
    207,839x = 322,460 × 322,460
  4. Step 4: Simplify right side
    207,839x = 103,980,451,600
  5. Step 5: Solve for x
    x = 103,980,451,600/207,839
  6. Step 6: Final answer
    x = 500,293.26

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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.