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Finding the Third Proportional to 1,220.34 and 1,940.34

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Solution

The third proportional to 1,220.34 and 1,940.34 is: 3,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.34 : 1,940.34 = 1,940.34 : x
  2. Step 2: Convert to fraction form
    1,220.34/1,940.34 = 1,940.34/x
  3. Step 3: Cross multiply
    1,220.34x = 1,940.34 × 1,940.34
  4. Step 4: Simplify right side
    1,220.34x = 3,764,933.87
  5. Step 5: Solve for x
    x = 3,764,933.87/1,220.34
  6. Step 6: Final answer
    x = 3,085.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.