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Finding the Third Proportional to 3,663 and 6,421.50

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Solution

The third proportional to 3,663 and 6,421.50 is: 11,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663 : 6,421.50 = 6,421.50 : x
  2. Step 2: Convert to fraction form
    3,663/6,421.50 = 6,421.50/x
  3. Step 3: Cross multiply
    3,663x = 6,421.50 × 6,421.50
  4. Step 4: Simplify right side
    3,663x = 41,235,662.25
  5. Step 5: Solve for x
    x = 41,235,662.25/3,663
  6. Step 6: Final answer
    x = 11,257.35

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.