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Finding the Third Proportional to 154,683 and 339,255

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Solution

The third proportional to 154,683 and 339,255 is: 744,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,683 : 339,255 = 339,255 : x
  2. Step 2: Convert to fraction form
    154,683/339,255 = 339,255/x
  3. Step 3: Cross multiply
    154,683x = 339,255 × 339,255
  4. Step 4: Simplify right side
    154,683x = 115,093,955,025
  5. Step 5: Solve for x
    x = 115,093,955,025/154,683
  6. Step 6: Final answer
    x = 744,063.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.