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Finding the Third Proportional to 228,100 and 333,483

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Solution

The third proportional to 228,100 and 333,483 is: 487,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,100 : 333,483 = 333,483 : x
  2. Step 2: Convert to fraction form
    228,100/333,483 = 333,483/x
  3. Step 3: Cross multiply
    228,100x = 333,483 × 333,483
  4. Step 4: Simplify right side
    228,100x = 111,210,911,289
  5. Step 5: Solve for x
    x = 111,210,911,289/228,100
  6. Step 6: Final answer
    x = 487,553.32

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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.