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Finding the Third Proportional to 287.44 and 656.16

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Solution

The third proportional to 287.44 and 656.16 is: 1,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.44 : 656.16 = 656.16 : x
  2. Step 2: Convert to fraction form
    287.44/656.16 = 656.16/x
  3. Step 3: Cross multiply
    287.44x = 656.16 × 656.16
  4. Step 4: Simplify right side
    287.44x = 430,541.02
  5. Step 5: Solve for x
    x = 430,541.02/287.44
  6. Step 6: Final answer
    x = 1,497.86

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.