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Finding the Third Proportional to 129,838.89 and 194,238.63

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Solution

The third proportional to 129,838.89 and 194,238.63 is: 290,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,838.89 : 194,238.63 = 194,238.63 : x
  2. Step 2: Convert to fraction form
    129,838.89/194,238.63 = 194,238.63/x
  3. Step 3: Cross multiply
    129,838.89x = 194,238.63 × 194,238.63
  4. Step 4: Simplify right side
    129,838.89x = 37,728,646,476.87
  5. Step 5: Solve for x
    x = 37,728,646,476.87/129,838.89
  6. Step 6: Final answer
    x = 290,580.48

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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.