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Finding the Third Proportional to 194,100 and 296,334

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Solution

The third proportional to 194,100 and 296,334 is: 452,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,100 : 296,334 = 296,334 : x
  2. Step 2: Convert to fraction form
    194,100/296,334 = 296,334/x
  3. Step 3: Cross multiply
    194,100x = 296,334 × 296,334
  4. Step 4: Simplify right side
    194,100x = 87,813,839,556
  5. Step 5: Solve for x
    x = 87,813,839,556/194,100
  6. Step 6: Final answer
    x = 452,415.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.