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Finding the Third Proportional to 133,104 and 289,212

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Solution

The third proportional to 133,104 and 289,212 is: 628,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,104 : 289,212 = 289,212 : x
  2. Step 2: Convert to fraction form
    133,104/289,212 = 289,212/x
  3. Step 3: Cross multiply
    133,104x = 289,212 × 289,212
  4. Step 4: Simplify right side
    133,104x = 83,643,580,944
  5. Step 5: Solve for x
    x = 83,643,580,944/133,104
  6. Step 6: Final answer
    x = 628,407.72

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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.