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Finding the Third Proportional to 428,381 and 930,505

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Solution

The third proportional to 428,381 and 930,505 is: 2,021,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,381 : 930,505 = 930,505 : x
  2. Step 2: Convert to fraction form
    428,381/930,505 = 930,505/x
  3. Step 3: Cross multiply
    428,381x = 930,505 × 930,505
  4. Step 4: Simplify right side
    428,381x = 865,839,555,025
  5. Step 5: Solve for x
    x = 865,839,555,025/428,381
  6. Step 6: Final answer
    x = 2,021,190.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.