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Finding the Third Proportional to 3,673 and 6,483.50

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Solution

The third proportional to 3,673 and 6,483.50 is: 11,444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673 : 6,483.50 = 6,483.50 : x
  2. Step 2: Convert to fraction form
    3,673/6,483.50 = 6,483.50/x
  3. Step 3: Cross multiply
    3,673x = 6,483.50 × 6,483.50
  4. Step 4: Simplify right side
    3,673x = 42,035,772.25
  5. Step 5: Solve for x
    x = 42,035,772.25/3,673
  6. Step 6: Final answer
    x = 11,444.53

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.