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Finding the Third Proportional to 335.56 and 505.34

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Solution

The third proportional to 335.56 and 505.34 is: 761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.56 : 505.34 = 505.34 : x
  2. Step 2: Convert to fraction form
    335.56/505.34 = 505.34/x
  3. Step 3: Cross multiply
    335.56x = 505.34 × 505.34
  4. Step 4: Simplify right side
    335.56x = 255,372.31
  5. Step 5: Solve for x
    x = 255,372.31/335.56
  6. Step 6: Final answer
    x = 761.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.