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Finding the Third Proportional to 287.13 and 633.88

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Solution

The third proportional to 287.13 and 633.88 is: 1,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.13 : 633.88 = 633.88 : x
  2. Step 2: Convert to fraction form
    287.13/633.88 = 633.88/x
  3. Step 3: Cross multiply
    287.13x = 633.88 × 633.88
  4. Step 4: Simplify right side
    287.13x = 401,797.52
  5. Step 5: Solve for x
    x = 401,797.52/287.13
  6. Step 6: Final answer
    x = 1,399.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.