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Finding the Third Proportional to 673.00 and 978.64

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Solution

The third proportional to 673.00 and 978.64 is: 1,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.00 : 978.64 = 978.64 : x
  2. Step 2: Convert to fraction form
    673.00/978.64 = 978.64/x
  3. Step 3: Cross multiply
    673.00x = 978.64 × 978.64
  4. Step 4: Simplify right side
    673.00x = 957,745.12
  5. Step 5: Solve for x
    x = 957,745.12/673.00
  6. Step 6: Final answer
    x = 1,423.11

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.