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Finding the Third Proportional to 1,676.32 and 3,775.99

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Solution

The third proportional to 1,676.32 and 3,775.99 is: 8,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.32 : 3,775.99 = 3,775.99 : x
  2. Step 2: Convert to fraction form
    1,676.32/3,775.99 = 3,775.99/x
  3. Step 3: Cross multiply
    1,676.32x = 3,775.99 × 3,775.99
  4. Step 4: Simplify right side
    1,676.32x = 14,258,117.00
  5. Step 5: Solve for x
    x = 14,258,117.00/1,676.32
  6. Step 6: Final answer
    x = 8,505.60

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.