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Finding the Third Proportional to 141,668 and 308,259

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Solution

The third proportional to 141,668 and 308,259 is: 670,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,668 : 308,259 = 308,259 : x
  2. Step 2: Convert to fraction form
    141,668/308,259 = 308,259/x
  3. Step 3: Cross multiply
    141,668x = 308,259 × 308,259
  4. Step 4: Simplify right side
    141,668x = 95,023,611,081
  5. Step 5: Solve for x
    x = 95,023,611,081/141,668
  6. Step 6: Final answer
    x = 670,748.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.