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Finding the Third Proportional to 268.21 and 423.98

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Solution

The third proportional to 268.21 and 423.98 is: 670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.21 : 423.98 = 423.98 : x
  2. Step 2: Convert to fraction form
    268.21/423.98 = 423.98/x
  3. Step 3: Cross multiply
    268.21x = 423.98 × 423.98
  4. Step 4: Simplify right side
    268.21x = 179,762.75
  5. Step 5: Solve for x
    x = 179,762.75/268.21
  6. Step 6: Final answer
    x = 670.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.