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Finding the Third Proportional to 1,823.77 and 3,987.98

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Solution

The third proportional to 1,823.77 and 3,987.98 is: 8,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.77 : 3,987.98 = 3,987.98 : x
  2. Step 2: Convert to fraction form
    1,823.77/3,987.98 = 3,987.98/x
  3. Step 3: Cross multiply
    1,823.77x = 3,987.98 × 3,987.98
  4. Step 4: Simplify right side
    1,823.77x = 15,904,019.38
  5. Step 5: Solve for x
    x = 15,904,019.38/1,823.77
  6. Step 6: Final answer
    x = 8,720.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.