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Finding the Third Proportional to 141,286 and 306,872

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Solution

The third proportional to 141,286 and 306,872 is: 666,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,286 : 306,872 = 306,872 : x
  2. Step 2: Convert to fraction form
    141,286/306,872 = 306,872/x
  3. Step 3: Cross multiply
    141,286x = 306,872 × 306,872
  4. Step 4: Simplify right side
    141,286x = 94,170,424,384
  5. Step 5: Solve for x
    x = 94,170,424,384/141,286
  6. Step 6: Final answer
    x = 666,523.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.