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Finding the Third Proportional to 150,918 and 319,821.75

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Solution

The third proportional to 150,918 and 319,821.75 is: 677,758.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,918 : 319,821.75 = 319,821.75 : x
  2. Step 2: Convert to fraction form
    150,918/319,821.75 = 319,821.75/x
  3. Step 3: Cross multiply
    150,918x = 319,821.75 × 319,821.75
  4. Step 4: Simplify right side
    150,918x = 102,285,951,773.06
  5. Step 5: Solve for x
    x = 102,285,951,773.06/150,918
  6. Step 6: Final answer
    x = 677,758.46

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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.