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Finding the Third Proportional to 1,683.19 and 3,635.25

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Solution

The third proportional to 1,683.19 and 3,635.25 is: 7,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.19 : 3,635.25 = 3,635.25 : x
  2. Step 2: Convert to fraction form
    1,683.19/3,635.25 = 3,635.25/x
  3. Step 3: Cross multiply
    1,683.19x = 3,635.25 × 3,635.25
  4. Step 4: Simplify right side
    1,683.19x = 13,215,042.56
  5. Step 5: Solve for x
    x = 13,215,042.56/1,683.19
  6. Step 6: Final answer
    x = 7,851.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.