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Finding the Third Proportional to 223,576 and 332,324

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Solution

The third proportional to 223,576 and 332,324 is: 493,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,576 : 332,324 = 332,324 : x
  2. Step 2: Convert to fraction form
    223,576/332,324 = 332,324/x
  3. Step 3: Cross multiply
    223,576x = 332,324 × 332,324
  4. Step 4: Simplify right side
    223,576x = 110,439,240,976
  5. Step 5: Solve for x
    x = 110,439,240,976/223,576
  6. Step 6: Final answer
    x = 493,967.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.