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Finding the Third Proportional to 1,982.60 and 4,157.26

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Solution

The third proportional to 1,982.60 and 4,157.26 is: 8,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.60 : 4,157.26 = 4,157.26 : x
  2. Step 2: Convert to fraction form
    1,982.60/4,157.26 = 4,157.26/x
  3. Step 3: Cross multiply
    1,982.60x = 4,157.26 × 4,157.26
  4. Step 4: Simplify right side
    1,982.60x = 17,282,825.00
  5. Step 5: Solve for x
    x = 17,282,825.00/1,982.60
  6. Step 6: Final answer
    x = 8,717.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.