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Finding the Third Proportional to 566.44 and 845.16

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Solution

The third proportional to 566.44 and 845.16 is: 1,261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.44 : 845.16 = 845.16 : x
  2. Step 2: Convert to fraction form
    566.44/845.16 = 845.16/x
  3. Step 3: Cross multiply
    566.44x = 845.16 × 845.16
  4. Step 4: Simplify right side
    566.44x = 714,289.09
  5. Step 5: Solve for x
    x = 714,289.09/566.44
  6. Step 6: Final answer
    x = 1,261.02

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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.