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Finding the Third Proportional to 137,611.50 and 203,865

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Solution

The third proportional to 137,611.50 and 203,865 is: 302,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,611.50 : 203,865 = 203,865 : x
  2. Step 2: Convert to fraction form
    137,611.50/203,865 = 203,865/x
  3. Step 3: Cross multiply
    137,611.50x = 203,865 × 203,865
  4. Step 4: Simplify right side
    137,611.50x = 41,560,938,225
  5. Step 5: Solve for x
    x = 41,560,938,225/137,611.50
  6. Step 6: Final answer
    x = 302,016.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.