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Finding the Third Proportional to 2,810.25 and 3,080.25

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Solution

The third proportional to 2,810.25 and 3,080.25 is: 3,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.25 : 3,080.25 = 3,080.25 : x
  2. Step 2: Convert to fraction form
    2,810.25/3,080.25 = 3,080.25/x
  3. Step 3: Cross multiply
    2,810.25x = 3,080.25 × 3,080.25
  4. Step 4: Simplify right side
    2,810.25x = 9,487,940.06
  5. Step 5: Solve for x
    x = 9,487,940.06/2,810.25
  6. Step 6: Final answer
    x = 3,376.19

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.