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Finding the Third Proportional to 129,858 and 194,787

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Solution

The third proportional to 129,858 and 194,787 is: 292,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,858 : 194,787 = 194,787 : x
  2. Step 2: Convert to fraction form
    129,858/194,787 = 194,787/x
  3. Step 3: Cross multiply
    129,858x = 194,787 × 194,787
  4. Step 4: Simplify right side
    129,858x = 37,941,975,369
  5. Step 5: Solve for x
    x = 37,941,975,369/129,858
  6. Step 6: Final answer
    x = 292,180.50

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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.