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Finding the Third Proportional to 300.63 and 655.25

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Solution

The third proportional to 300.63 and 655.25 is: 1,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.63 : 655.25 = 655.25 : x
  2. Step 2: Convert to fraction form
    300.63/655.25 = 655.25/x
  3. Step 3: Cross multiply
    300.63x = 655.25 × 655.25
  4. Step 4: Simplify right side
    300.63x = 429,352.56
  5. Step 5: Solve for x
    x = 429,352.56/300.63
  6. Step 6: Final answer
    x = 1,428.20

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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.