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Finding the Third Proportional to 286.56 and 607.44

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Solution

The third proportional to 286.56 and 607.44 is: 1,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.56 : 607.44 = 607.44 : x
  2. Step 2: Convert to fraction form
    286.56/607.44 = 607.44/x
  3. Step 3: Cross multiply
    286.56x = 607.44 × 607.44
  4. Step 4: Simplify right side
    286.56x = 368,980.32
  5. Step 5: Solve for x
    x = 368,980.32/286.56
  6. Step 6: Final answer
    x = 1,287.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.