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Finding the Third Proportional to 143,936.25 and 304,480.50

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Solution

The third proportional to 143,936.25 and 304,480.50 is: 644,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,936.25 : 304,480.50 = 304,480.50 : x
  2. Step 2: Convert to fraction form
    143,936.25/304,480.50 = 304,480.50/x
  3. Step 3: Cross multiply
    143,936.25x = 304,480.50 × 304,480.50
  4. Step 4: Simplify right side
    143,936.25x = 92,708,374,880.25
  5. Step 5: Solve for x
    x = 92,708,374,880.25/143,936.25
  6. Step 6: Final answer
    x = 644,093.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.