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Finding the Third Proportional to 129,606 and 194,409

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Solution

The third proportional to 129,606 and 194,409 is: 291,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,606 : 194,409 = 194,409 : x
  2. Step 2: Convert to fraction form
    129,606/194,409 = 194,409/x
  3. Step 3: Cross multiply
    129,606x = 194,409 × 194,409
  4. Step 4: Simplify right side
    129,606x = 37,794,859,281
  5. Step 5: Solve for x
    x = 37,794,859,281/129,606
  6. Step 6: Final answer
    x = 291,613.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.