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Finding the Third Proportional to 239,830 and 515,949

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Solution

The third proportional to 239,830 and 515,949 is: 1,109,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,830 : 515,949 = 515,949 : x
  2. Step 2: Convert to fraction form
    239,830/515,949 = 515,949/x
  3. Step 3: Cross multiply
    239,830x = 515,949 × 515,949
  4. Step 4: Simplify right side
    239,830x = 266,203,370,601
  5. Step 5: Solve for x
    x = 266,203,370,601/239,830
  6. Step 6: Final answer
    x = 1,109,966.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.