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Finding the Third Proportional to 129,340 and 201,869

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Solution

The third proportional to 129,340 and 201,869 is: 315,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,340 : 201,869 = 201,869 : x
  2. Step 2: Convert to fraction form
    129,340/201,869 = 201,869/x
  3. Step 3: Cross multiply
    129,340x = 201,869 × 201,869
  4. Step 4: Simplify right side
    129,340x = 40,751,093,161
  5. Step 5: Solve for x
    x = 40,751,093,161/129,340
  6. Step 6: Final answer
    x = 315,069.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.