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Finding the Third Proportional to 129,958 and 194,403

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Solution

The third proportional to 129,958 and 194,403 is: 290,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,958 : 194,403 = 194,403 : x
  2. Step 2: Convert to fraction form
    129,958/194,403 = 194,403/x
  3. Step 3: Cross multiply
    129,958x = 194,403 × 194,403
  4. Step 4: Simplify right side
    129,958x = 37,792,526,409
  5. Step 5: Solve for x
    x = 37,792,526,409/129,958
  6. Step 6: Final answer
    x = 290,805.69

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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.