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Finding the Third Proportional to 228,104 and 333,488

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Solution

The third proportional to 228,104 and 333,488 is: 487,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,104 : 333,488 = 333,488 : x
  2. Step 2: Convert to fraction form
    228,104/333,488 = 333,488/x
  3. Step 3: Cross multiply
    228,104x = 333,488 × 333,488
  4. Step 4: Simplify right side
    228,104x = 111,214,246,144
  5. Step 5: Solve for x
    x = 111,214,246,144/228,104
  6. Step 6: Final answer
    x = 487,559.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.