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Finding the Third Proportional to 107,904 and 221,152

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Solution

The third proportional to 107,904 and 221,152 is: 453,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,904 : 221,152 = 221,152 : x
  2. Step 2: Convert to fraction form
    107,904/221,152 = 221,152/x
  3. Step 3: Cross multiply
    107,904x = 221,152 × 221,152
  4. Step 4: Simplify right side
    107,904x = 48,908,207,104
  5. Step 5: Solve for x
    x = 48,908,207,104/107,904
  6. Step 6: Final answer
    x = 453,256.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.