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Finding the Third Proportional to 301.85 and 654.96

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Solution

The third proportional to 301.85 and 654.96 is: 1,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.85 : 654.96 = 654.96 : x
  2. Step 2: Convert to fraction form
    301.85/654.96 = 654.96/x
  3. Step 3: Cross multiply
    301.85x = 654.96 × 654.96
  4. Step 4: Simplify right side
    301.85x = 428,973.83
  5. Step 5: Solve for x
    x = 428,973.83/301.85
  6. Step 6: Final answer
    x = 1,421.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.