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Finding the Third Proportional to 274,012.88 and 409,905.56

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Solution

The third proportional to 274,012.88 and 409,905.56 is: 613,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,012.88 : 409,905.56 = 409,905.56 : x
  2. Step 2: Convert to fraction form
    274,012.88/409,905.56 = 409,905.56/x
  3. Step 3: Cross multiply
    274,012.88x = 409,905.56 × 409,905.56
  4. Step 4: Simplify right side
    274,012.88x = 168,022,570,168.44
  5. Step 5: Solve for x
    x = 168,022,570,168.44/274,012.88
  6. Step 6: Final answer
    x = 613,192.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.