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Finding the Third Proportional to 1,669.36 and 3,628.55

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Solution

The third proportional to 1,669.36 and 3,628.55 is: 7,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.36 : 3,628.55 = 3,628.55 : x
  2. Step 2: Convert to fraction form
    1,669.36/3,628.55 = 3,628.55/x
  3. Step 3: Cross multiply
    1,669.36x = 3,628.55 × 3,628.55
  4. Step 4: Simplify right side
    1,669.36x = 13,166,352.42
  5. Step 5: Solve for x
    x = 13,166,352.42/1,669.36
  6. Step 6: Final answer
    x = 7,887.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.