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Finding the Third Proportional to 299.30 and 654.05

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Solution

The third proportional to 299.30 and 654.05 is: 1,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.30 : 654.05 = 654.05 : x
  2. Step 2: Convert to fraction form
    299.30/654.05 = 654.05/x
  3. Step 3: Cross multiply
    299.30x = 654.05 × 654.05
  4. Step 4: Simplify right side
    299.30x = 427,777.31
  5. Step 5: Solve for x
    x = 427,777.31/299.30
  6. Step 6: Final answer
    x = 1,429.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.