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Finding the Third Proportional to 421.88 and 673.69

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Solution

The third proportional to 421.88 and 673.69 is: 1,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.88 : 673.69 = 673.69 : x
  2. Step 2: Convert to fraction form
    421.88/673.69 = 673.69/x
  3. Step 3: Cross multiply
    421.88x = 673.69 × 673.69
  4. Step 4: Simplify right side
    421.88x = 453,854.85
  5. Step 5: Solve for x
    x = 453,854.85/421.88
  6. Step 6: Final answer
    x = 1,075.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.