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Finding the Third Proportional to 145,104 and 221,824

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Solution

The third proportional to 145,104 and 221,824 is: 339,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,104 : 221,824 = 221,824 : x
  2. Step 2: Convert to fraction form
    145,104/221,824 = 221,824/x
  3. Step 3: Cross multiply
    145,104x = 221,824 × 221,824
  4. Step 4: Simplify right side
    145,104x = 49,205,886,976
  5. Step 5: Solve for x
    x = 49,205,886,976/145,104
  6. Step 6: Final answer
    x = 339,107.72

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Why These Related Problems?

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