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Finding the Third Proportional to 1,596 and 3,773

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Solution

The third proportional to 1,596 and 3,773 is: 8,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596 : 3,773 = 3,773 : x
  2. Step 2: Convert to fraction form
    1,596/3,773 = 3,773/x
  3. Step 3: Cross multiply
    1,596x = 3,773 × 3,773
  4. Step 4: Simplify right side
    1,596x = 14,235,529
  5. Step 5: Solve for x
    x = 14,235,529/1,596
  6. Step 6: Final answer
    x = 8,919.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.