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Finding the Third Proportional to 2,085.19 and 2,495.81

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Solution

The third proportional to 2,085.19 and 2,495.81 is: 2,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.19 : 2,495.81 = 2,495.81 : x
  2. Step 2: Convert to fraction form
    2,085.19/2,495.81 = 2,495.81/x
  3. Step 3: Cross multiply
    2,085.19x = 2,495.81 × 2,495.81
  4. Step 4: Simplify right side
    2,085.19x = 6,229,080.04
  5. Step 5: Solve for x
    x = 6,229,080.04/2,085.19
  6. Step 6: Final answer
    x = 2,987.30

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.