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Finding the Third Proportional to 987.44 and 2,133.22

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Solution

The third proportional to 987.44 and 2,133.22 is: 4,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.44 : 2,133.22 = 2,133.22 : x
  2. Step 2: Convert to fraction form
    987.44/2,133.22 = 2,133.22/x
  3. Step 3: Cross multiply
    987.44x = 2,133.22 × 2,133.22
  4. Step 4: Simplify right side
    987.44x = 4,550,622.24
  5. Step 5: Solve for x
    x = 4,550,622.24/987.44
  6. Step 6: Final answer
    x = 4,608.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.