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Finding the Third Proportional to 980.07 and 2,122.45

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Solution

The third proportional to 980.07 and 2,122.45 is: 4,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.07 : 2,122.45 = 2,122.45 : x
  2. Step 2: Convert to fraction form
    980.07/2,122.45 = 2,122.45/x
  3. Step 3: Cross multiply
    980.07x = 2,122.45 × 2,122.45
  4. Step 4: Simplify right side
    980.07x = 4,504,807.27
  5. Step 5: Solve for x
    x = 4,504,807.27/980.07
  6. Step 6: Final answer
    x = 4,596.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.