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Finding the Third Proportional to 305.02 and 654.33

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Solution

The third proportional to 305.02 and 654.33 is: 1,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.02 : 654.33 = 654.33 : x
  2. Step 2: Convert to fraction form
    305.02/654.33 = 654.33/x
  3. Step 3: Cross multiply
    305.02x = 654.33 × 654.33
  4. Step 4: Simplify right side
    305.02x = 428,145.30
  5. Step 5: Solve for x
    x = 428,145.30/305.02
  6. Step 6: Final answer
    x = 1,403.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.