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Finding the Third Proportional to 7,980.75 and 17,357.63

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Solution

The third proportional to 7,980.75 and 17,357.63 is: 37,751.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.75 : 17,357.63 = 17,357.63 : x
  2. Step 2: Convert to fraction form
    7,980.75/17,357.63 = 17,357.63/x
  3. Step 3: Cross multiply
    7,980.75x = 17,357.63 × 17,357.63
  4. Step 4: Simplify right side
    7,980.75x = 301,287,145.64
  5. Step 5: Solve for x
    x = 301,287,145.64/7,980.75
  6. Step 6: Final answer
    x = 37,751.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.