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Finding the Third Proportional to 290,322 and 444,123

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Solution

The third proportional to 290,322 and 444,123 is: 679,401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,322 : 444,123 = 444,123 : x
  2. Step 2: Convert to fraction form
    290,322/444,123 = 444,123/x
  3. Step 3: Cross multiply
    290,322x = 444,123 × 444,123
  4. Step 4: Simplify right side
    290,322x = 197,245,239,129
  5. Step 5: Solve for x
    x = 197,245,239,129/290,322
  6. Step 6: Final answer
    x = 679,401.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.