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Finding the Third Proportional to 219,888 and 324,972

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Solution

The third proportional to 219,888 and 324,972 is: 480,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,888 : 324,972 = 324,972 : x
  2. Step 2: Convert to fraction form
    219,888/324,972 = 324,972/x
  3. Step 3: Cross multiply
    219,888x = 324,972 × 324,972
  4. Step 4: Simplify right side
    219,888x = 105,606,800,784
  5. Step 5: Solve for x
    x = 105,606,800,784/219,888
  6. Step 6: Final answer
    x = 480,275.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.