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Finding the Third Proportional to 154,524 and 320,891

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Solution

The third proportional to 154,524 and 320,891 is: 666,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,524 : 320,891 = 320,891 : x
  2. Step 2: Convert to fraction form
    154,524/320,891 = 320,891/x
  3. Step 3: Cross multiply
    154,524x = 320,891 × 320,891
  4. Step 4: Simplify right side
    154,524x = 102,971,033,881
  5. Step 5: Solve for x
    x = 102,971,033,881/154,524
  6. Step 6: Final answer
    x = 666,375.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.