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Finding the Third Proportional to 7,172.25 and 11,077.88

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Solution

The third proportional to 7,172.25 and 11,077.88 is: 17,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.25 : 11,077.88 = 11,077.88 : x
  2. Step 2: Convert to fraction form
    7,172.25/11,077.88 = 11,077.88/x
  3. Step 3: Cross multiply
    7,172.25x = 11,077.88 × 11,077.88
  4. Step 4: Simplify right side
    7,172.25x = 122,719,314.52
  5. Step 5: Solve for x
    x = 122,719,314.52/7,172.25
  6. Step 6: Final answer
    x = 17,110.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.