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Finding the Third Proportional to 428,745 and 914,489

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Solution

The third proportional to 428,745 and 914,489 is: 1,950,553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,745 : 914,489 = 914,489 : x
  2. Step 2: Convert to fraction form
    428,745/914,489 = 914,489/x
  3. Step 3: Cross multiply
    428,745x = 914,489 × 914,489
  4. Step 4: Simplify right side
    428,745x = 836,290,131,121
  5. Step 5: Solve for x
    x = 836,290,131,121/428,745
  6. Step 6: Final answer
    x = 1,950,553.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.