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Finding the Third Proportional to 1,788.47 and 3,874.69

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Solution

The third proportional to 1,788.47 and 3,874.69 is: 8,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.47 : 3,874.69 = 3,874.69 : x
  2. Step 2: Convert to fraction form
    1,788.47/3,874.69 = 3,874.69/x
  3. Step 3: Cross multiply
    1,788.47x = 3,874.69 × 3,874.69
  4. Step 4: Simplify right side
    1,788.47x = 15,013,203.22
  5. Step 5: Solve for x
    x = 15,013,203.22/1,788.47
  6. Step 6: Final answer
    x = 8,394.45

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