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Finding the Third Proportional to 1,857 and 3,661.13

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Solution

The third proportional to 1,857 and 3,661.13 is: 7,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857 : 3,661.13 = 3,661.13 : x
  2. Step 2: Convert to fraction form
    1,857/3,661.13 = 3,661.13/x
  3. Step 3: Cross multiply
    1,857x = 3,661.13 × 3,661.13
  4. Step 4: Simplify right side
    1,857x = 13,403,836.27
  5. Step 5: Solve for x
    x = 13,403,836.27/1,857
  6. Step 6: Final answer
    x = 7,218.01

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.