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Finding the Third Proportional to 129,558 and 194,471

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Solution

The third proportional to 129,558 and 194,471 is: 291,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,558 : 194,471 = 194,471 : x
  2. Step 2: Convert to fraction form
    129,558/194,471 = 194,471/x
  3. Step 3: Cross multiply
    129,558x = 194,471 × 194,471
  4. Step 4: Simplify right side
    129,558x = 37,818,969,841
  5. Step 5: Solve for x
    x = 37,818,969,841/129,558
  6. Step 6: Final answer
    x = 291,907.64

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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.