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Finding the Third Proportional to 428,751 and 914,458

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Solution

The third proportional to 428,751 and 914,458 is: 1,950,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,751 : 914,458 = 914,458 : x
  2. Step 2: Convert to fraction form
    428,751/914,458 = 914,458/x
  3. Step 3: Cross multiply
    428,751x = 914,458 × 914,458
  4. Step 4: Simplify right side
    428,751x = 836,233,433,764
  5. Step 5: Solve for x
    x = 836,233,433,764/428,751
  6. Step 6: Final answer
    x = 1,950,394.13

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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.