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Finding the Third Proportional to 1,213.73 and 1,980.07

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Solution

The third proportional to 1,213.73 and 1,980.07 is: 3,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.73 : 1,980.07 = 1,980.07 : x
  2. Step 2: Convert to fraction form
    1,213.73/1,980.07 = 1,980.07/x
  3. Step 3: Cross multiply
    1,213.73x = 1,980.07 × 1,980.07
  4. Step 4: Simplify right side
    1,213.73x = 3,920,678.44
  5. Step 5: Solve for x
    x = 3,920,678.44/1,213.73
  6. Step 6: Final answer
    x = 3,230.26

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.