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Finding the Third Proportional to 673.45 and 1,040.20

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Solution

The third proportional to 673.45 and 1,040.20 is: 1,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.45 : 1,040.20 = 1,040.20 : x
  2. Step 2: Convert to fraction form
    673.45/1,040.20 = 1,040.20/x
  3. Step 3: Cross multiply
    673.45x = 1,040.20 × 1,040.20
  4. Step 4: Simplify right side
    673.45x = 1,082,022.54
  5. Step 5: Solve for x
    x = 1,082,022.54/673.45
  6. Step 6: Final answer
    x = 1,606.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.