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Finding the Third Proportional to 149,201.50 and 305,297.50

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Solution

The third proportional to 149,201.50 and 305,297.50 is: 624,702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,201.50 : 305,297.50 = 305,297.50 : x
  2. Step 2: Convert to fraction form
    149,201.50/305,297.50 = 305,297.50/x
  3. Step 3: Cross multiply
    149,201.50x = 305,297.50 × 305,297.50
  4. Step 4: Simplify right side
    149,201.50x = 93,206,563,506.25
  5. Step 5: Solve for x
    x = 93,206,563,506.25/149,201.50
  6. Step 6: Final answer
    x = 624,702.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.