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Finding the Third Proportional to 129,284 and 199,378

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Solution

The third proportional to 129,284 and 199,378 is: 307,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,284 : 199,378 = 199,378 : x
  2. Step 2: Convert to fraction form
    129,284/199,378 = 199,378/x
  3. Step 3: Cross multiply
    129,284x = 199,378 × 199,378
  4. Step 4: Simplify right side
    129,284x = 39,751,586,884
  5. Step 5: Solve for x
    x = 39,751,586,884/129,284
  6. Step 6: Final answer
    x = 307,474.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.