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Finding the Third Proportional to 412,978 and 631,315

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Solution

The third proportional to 412,978 and 631,315 is: 965,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,978 : 631,315 = 631,315 : x
  2. Step 2: Convert to fraction form
    412,978/631,315 = 631,315/x
  3. Step 3: Cross multiply
    412,978x = 631,315 × 631,315
  4. Step 4: Simplify right side
    412,978x = 398,558,629,225
  5. Step 5: Solve for x
    x = 398,558,629,225/412,978
  6. Step 6: Final answer
    x = 965,084.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.