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Finding the Third Proportional to 223,978 and 322,719

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Solution

The third proportional to 223,978 and 322,719 is: 464,990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,978 : 322,719 = 322,719 : x
  2. Step 2: Convert to fraction form
    223,978/322,719 = 322,719/x
  3. Step 3: Cross multiply
    223,978x = 322,719 × 322,719
  4. Step 4: Simplify right side
    223,978x = 104,147,552,961
  5. Step 5: Solve for x
    x = 104,147,552,961/223,978
  6. Step 6: Final answer
    x = 464,990.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.