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Finding the Third Proportional to 2,145.80 and 3,062.67

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Solution

The third proportional to 2,145.80 and 3,062.67 is: 4,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.80 : 3,062.67 = 3,062.67 : x
  2. Step 2: Convert to fraction form
    2,145.80/3,062.67 = 3,062.67/x
  3. Step 3: Cross multiply
    2,145.80x = 3,062.67 × 3,062.67
  4. Step 4: Simplify right side
    2,145.80x = 9,379,959.01
  5. Step 5: Solve for x
    x = 9,379,959.01/2,145.80
  6. Step 6: Final answer
    x = 4,371.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.