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Finding the Third Proportional to 3,080.25 and 3,911.63

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Solution

The third proportional to 3,080.25 and 3,911.63 is: 4,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.25 : 3,911.63 = 3,911.63 : x
  2. Step 2: Convert to fraction form
    3,080.25/3,911.63 = 3,911.63/x
  3. Step 3: Cross multiply
    3,080.25x = 3,911.63 × 3,911.63
  4. Step 4: Simplify right side
    3,080.25x = 15,300,810.14
  5. Step 5: Solve for x
    x = 15,300,810.14/3,080.25
  6. Step 6: Final answer
    x = 4,967.39

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.