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Finding the Third Proportional to 448.17 and 984.52

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Solution

The third proportional to 448.17 and 984.52 is: 2,162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.17 : 984.52 = 984.52 : x
  2. Step 2: Convert to fraction form
    448.17/984.52 = 984.52/x
  3. Step 3: Cross multiply
    448.17x = 984.52 × 984.52
  4. Step 4: Simplify right side
    448.17x = 969,271.02
  5. Step 5: Solve for x
    x = 969,271.02/448.17
  6. Step 6: Final answer
    x = 2,162.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.