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Finding the Third Proportional to 608 and 1,335.50

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Solution

The third proportional to 608 and 1,335.50 is: 2,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    608 : 1,335.50 = 1,335.50 : x
  2. Step 2: Convert to fraction form
    608/1,335.50 = 1,335.50/x
  3. Step 3: Cross multiply
    608x = 1,335.50 × 1,335.50
  4. Step 4: Simplify right side
    608x = 1,783,560.25
  5. Step 5: Solve for x
    x = 1,783,560.25/608
  6. Step 6: Final answer
    x = 2,933.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.