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Finding the Third Proportional to 428,706 and 914,349

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Solution

The third proportional to 428,706 and 914,349 is: 1,950,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,706 : 914,349 = 914,349 : x
  2. Step 2: Convert to fraction form
    428,706/914,349 = 914,349/x
  3. Step 3: Cross multiply
    428,706x = 914,349 × 914,349
  4. Step 4: Simplify right side
    428,706x = 836,034,093,801
  5. Step 5: Solve for x
    x = 836,034,093,801/428,706
  6. Step 6: Final answer
    x = 1,950,133.88

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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.