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Finding the Third Proportional to 662.55 and 1,425.09

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Solution

The third proportional to 662.55 and 1,425.09 is: 3,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.55 : 1,425.09 = 1,425.09 : x
  2. Step 2: Convert to fraction form
    662.55/1,425.09 = 1,425.09/x
  3. Step 3: Cross multiply
    662.55x = 1,425.09 × 1,425.09
  4. Step 4: Simplify right side
    662.55x = 2,030,892.20
  5. Step 5: Solve for x
    x = 2,030,892.20/662.55
  6. Step 6: Final answer
    x = 3,065.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.