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Finding the Third Proportional to 150,930 and 319,830

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Solution

The third proportional to 150,930 and 319,830 is: 677,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,930 : 319,830 = 319,830 : x
  2. Step 2: Convert to fraction form
    150,930/319,830 = 319,830/x
  3. Step 3: Cross multiply
    150,930x = 319,830 × 319,830
  4. Step 4: Simplify right side
    150,930x = 102,291,228,900
  5. Step 5: Solve for x
    x = 102,291,228,900/150,930
  6. Step 6: Final answer
    x = 677,739.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.