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Finding the Third Proportional to 1,425 and 3,658.50

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Solution

The third proportional to 1,425 and 3,658.50 is: 9,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425 : 3,658.50 = 3,658.50 : x
  2. Step 2: Convert to fraction form
    1,425/3,658.50 = 3,658.50/x
  3. Step 3: Cross multiply
    1,425x = 3,658.50 × 3,658.50
  4. Step 4: Simplify right side
    1,425x = 13,384,622.25
  5. Step 5: Solve for x
    x = 13,384,622.25/1,425
  6. Step 6: Final answer
    x = 9,392.72

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.