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Finding the Third Proportional to 214,978 and 322,430

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Solution

The third proportional to 214,978 and 322,430 is: 483,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,978 : 322,430 = 322,430 : x
  2. Step 2: Convert to fraction form
    214,978/322,430 = 322,430/x
  3. Step 3: Cross multiply
    214,978x = 322,430 × 322,430
  4. Step 4: Simplify right side
    214,978x = 103,961,104,900
  5. Step 5: Solve for x
    x = 103,961,104,900/214,978
  6. Step 6: Final answer
    x = 483,589.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.