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Finding the Third Proportional to 150,955 and 319,891

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Solution

The third proportional to 150,955 and 319,891 is: 677,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,955 : 319,891 = 319,891 : x
  2. Step 2: Convert to fraction form
    150,955/319,891 = 319,891/x
  3. Step 3: Cross multiply
    150,955x = 319,891 × 319,891
  4. Step 4: Simplify right side
    150,955x = 102,330,251,881
  5. Step 5: Solve for x
    x = 102,330,251,881/150,955
  6. Step 6: Final answer
    x = 677,885.81

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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.