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Finding the Third Proportional to 428,963 and 914,925

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Solution

The third proportional to 428,963 and 914,925 is: 1,951,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,963 : 914,925 = 914,925 : x
  2. Step 2: Convert to fraction form
    428,963/914,925 = 914,925/x
  3. Step 3: Cross multiply
    428,963x = 914,925 × 914,925
  4. Step 4: Simplify right side
    428,963x = 837,087,755,625
  5. Step 5: Solve for x
    x = 837,087,755,625/428,963
  6. Step 6: Final answer
    x = 1,951,421.81

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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.