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Finding the Third Proportional to 428,717 and 914,377

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Solution

The third proportional to 428,717 and 914,377 is: 1,950,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,717 : 914,377 = 914,377 : x
  2. Step 2: Convert to fraction form
    428,717/914,377 = 914,377/x
  3. Step 3: Cross multiply
    428,717x = 914,377 × 914,377
  4. Step 4: Simplify right side
    428,717x = 836,085,298,129
  5. Step 5: Solve for x
    x = 836,085,298,129/428,717
  6. Step 6: Final answer
    x = 1,950,203.28

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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.