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Finding the Third Proportional to 139,683 and 305,574

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Solution

The third proportional to 139,683 and 305,574 is: 668,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,683 : 305,574 = 305,574 : x
  2. Step 2: Convert to fraction form
    139,683/305,574 = 305,574/x
  3. Step 3: Cross multiply
    139,683x = 305,574 × 305,574
  4. Step 4: Simplify right side
    139,683x = 93,375,469,476
  5. Step 5: Solve for x
    x = 93,375,469,476/139,683
  6. Step 6: Final answer
    x = 668,481.27

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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.