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Finding the Third Proportional to 2,145.23 and 3,120.08

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Solution

The third proportional to 2,145.23 and 3,120.08 is: 4,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.23 : 3,120.08 = 3,120.08 : x
  2. Step 2: Convert to fraction form
    2,145.23/3,120.08 = 3,120.08/x
  3. Step 3: Cross multiply
    2,145.23x = 3,120.08 × 3,120.08
  4. Step 4: Simplify right side
    2,145.23x = 9,734,911.88
  5. Step 5: Solve for x
    x = 9,734,911.88/2,145.23
  6. Step 6: Final answer
    x = 4,537.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.