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Finding the Third Proportional to 129,312 and 194,142

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Solution

The third proportional to 129,312 and 194,142 is: 291,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,312 : 194,142 = 194,142 : x
  2. Step 2: Convert to fraction form
    129,312/194,142 = 194,142/x
  3. Step 3: Cross multiply
    129,312x = 194,142 × 194,142
  4. Step 4: Simplify right side
    129,312x = 37,691,116,164
  5. Step 5: Solve for x
    x = 37,691,116,164/129,312
  6. Step 6: Final answer
    x = 291,474.23

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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.