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Finding the Third Proportional to 132,942 and 289,212

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Solution

The third proportional to 132,942 and 289,212 is: 629,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,942 : 289,212 = 289,212 : x
  2. Step 2: Convert to fraction form
    132,942/289,212 = 289,212/x
  3. Step 3: Cross multiply
    132,942x = 289,212 × 289,212
  4. Step 4: Simplify right side
    132,942x = 83,643,580,944
  5. Step 5: Solve for x
    x = 83,643,580,944/132,942
  6. Step 6: Final answer
    x = 629,173.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.