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Finding the Third Proportional to 132,947 and 289,222

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Solution

The third proportional to 132,947 and 289,222 is: 629,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,947 : 289,222 = 289,222 : x
  2. Step 2: Convert to fraction form
    132,947/289,222 = 289,222/x
  3. Step 3: Cross multiply
    132,947x = 289,222 × 289,222
  4. Step 4: Simplify right side
    132,947x = 83,649,365,284
  5. Step 5: Solve for x
    x = 83,649,365,284/132,947
  6. Step 6: Final answer
    x = 629,193.33

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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.