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Finding the Third Proportional to 486.56 and 755.16

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Solution

The third proportional to 486.56 and 755.16 is: 1,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.56 : 755.16 = 755.16 : x
  2. Step 2: Convert to fraction form
    486.56/755.16 = 755.16/x
  3. Step 3: Cross multiply
    486.56x = 755.16 × 755.16
  4. Step 4: Simplify right side
    486.56x = 570,260.96
  5. Step 5: Solve for x
    x = 570,260.96/486.56
  6. Step 6: Final answer
    x = 1,172.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.