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Finding the Third Proportional to 505.56 and 755.19

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Solution

The third proportional to 505.56 and 755.19 is: 1,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.56 : 755.19 = 755.19 : x
  2. Step 2: Convert to fraction form
    505.56/755.19 = 755.19/x
  3. Step 3: Cross multiply
    505.56x = 755.19 × 755.19
  4. Step 4: Simplify right side
    505.56x = 570,308.16
  5. Step 5: Solve for x
    x = 570,308.16/505.56
  6. Step 6: Final answer
    x = 1,128.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.