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Finding the Third Proportional to 1,621.27 and 2,515.43

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Solution

The third proportional to 1,621.27 and 2,515.43 is: 3,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.27 : 2,515.43 = 2,515.43 : x
  2. Step 2: Convert to fraction form
    1,621.27/2,515.43 = 2,515.43/x
  3. Step 3: Cross multiply
    1,621.27x = 2,515.43 × 2,515.43
  4. Step 4: Simplify right side
    1,621.27x = 6,327,386.51
  5. Step 5: Solve for x
    x = 6,327,386.51/1,621.27
  6. Step 6: Final answer
    x = 3,902.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.