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Finding the Third Proportional to 1,661.13 and 3,485.53

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Solution

The third proportional to 1,661.13 and 3,485.53 is: 7,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.13 : 3,485.53 = 3,485.53 : x
  2. Step 2: Convert to fraction form
    1,661.13/3,485.53 = 3,485.53/x
  3. Step 3: Cross multiply
    1,661.13x = 3,485.53 × 3,485.53
  4. Step 4: Simplify right side
    1,661.13x = 12,148,928.09
  5. Step 5: Solve for x
    x = 12,148,928.09/1,661.13
  6. Step 6: Final answer
    x = 7,313.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.