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Finding the Third Proportional to 100,904 and 219,280

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Solution

The third proportional to 100,904 and 219,280 is: 476,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,904 : 219,280 = 219,280 : x
  2. Step 2: Convert to fraction form
    100,904/219,280 = 219,280/x
  3. Step 3: Cross multiply
    100,904x = 219,280 × 219,280
  4. Step 4: Simplify right side
    100,904x = 48,083,718,400
  5. Step 5: Solve for x
    x = 48,083,718,400/100,904
  6. Step 6: Final answer
    x = 476,529.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.