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Finding the Third Proportional to 154,523 and 320,889

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Solution

The third proportional to 154,523 and 320,889 is: 666,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,523 : 320,889 = 320,889 : x
  2. Step 2: Convert to fraction form
    154,523/320,889 = 320,889/x
  3. Step 3: Cross multiply
    154,523x = 320,889 × 320,889
  4. Step 4: Simplify right side
    154,523x = 102,969,750,321
  5. Step 5: Solve for x
    x = 102,969,750,321/154,523
  6. Step 6: Final answer
    x = 666,371.67

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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.