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Finding the Third Proportional to 315,099 and 691,425

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Solution

The third proportional to 315,099 and 691,425 is: 1,517,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,099 : 691,425 = 691,425 : x
  2. Step 2: Convert to fraction form
    315,099/691,425 = 691,425/x
  3. Step 3: Cross multiply
    315,099x = 691,425 × 691,425
  4. Step 4: Simplify right side
    315,099x = 478,068,530,625
  5. Step 5: Solve for x
    x = 478,068,530,625/315,099
  6. Step 6: Final answer
    x = 1,517,201.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.