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Finding the Third Proportional to 299.46 and 654.40

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Solution

The third proportional to 299.46 and 654.40 is: 1,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.46 : 654.40 = 654.40 : x
  2. Step 2: Convert to fraction form
    299.46/654.40 = 654.40/x
  3. Step 3: Cross multiply
    299.46x = 654.40 × 654.40
  4. Step 4: Simplify right side
    299.46x = 428,237.32
  5. Step 5: Solve for x
    x = 428,237.32/299.46
  6. Step 6: Final answer
    x = 1,430.03

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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.