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Finding the Third Proportional to 331,278 and 441,369

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Solution

The third proportional to 331,278 and 441,369 is: 588,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,278 : 441,369 = 441,369 : x
  2. Step 2: Convert to fraction form
    331,278/441,369 = 441,369/x
  3. Step 3: Cross multiply
    331,278x = 441,369 × 441,369
  4. Step 4: Simplify right side
    331,278x = 194,806,594,161
  5. Step 5: Solve for x
    x = 194,806,594,161/331,278
  6. Step 6: Final answer
    x = 588,045.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.