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Finding the Third Proportional to 299.95 and 654.28

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Solution

The third proportional to 299.95 and 654.28 is: 1,427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.95 : 654.28 = 654.28 : x
  2. Step 2: Convert to fraction form
    299.95/654.28 = 654.28/x
  3. Step 3: Cross multiply
    299.95x = 654.28 × 654.28
  4. Step 4: Simplify right side
    299.95x = 428,076.29
  5. Step 5: Solve for x
    x = 428,076.29/299.95
  6. Step 6: Final answer
    x = 1,427.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.