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Finding the Third Proportional to 231,808 and 330,863

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Solution

The third proportional to 231,808 and 330,863 is: 472,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,808 : 330,863 = 330,863 : x
  2. Step 2: Convert to fraction form
    231,808/330,863 = 330,863/x
  3. Step 3: Cross multiply
    231,808x = 330,863 × 330,863
  4. Step 4: Simplify right side
    231,808x = 109,470,324,769
  5. Step 5: Solve for x
    x = 109,470,324,769/231,808
  6. Step 6: Final answer
    x = 472,245.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.