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Finding the Third Proportional to 129,916 and 196,278

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Solution

The third proportional to 129,916 and 196,278 is: 296,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,916 : 196,278 = 196,278 : x
  2. Step 2: Convert to fraction form
    129,916/196,278 = 196,278/x
  3. Step 3: Cross multiply
    129,916x = 196,278 × 196,278
  4. Step 4: Simplify right side
    129,916x = 38,525,053,284
  5. Step 5: Solve for x
    x = 38,525,053,284/129,916
  6. Step 6: Final answer
    x = 296,538.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.