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Finding the Third Proportional to 3,506 and 5,843.50

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Solution

The third proportional to 3,506 and 5,843.50 is: 9,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506 : 5,843.50 = 5,843.50 : x
  2. Step 2: Convert to fraction form
    3,506/5,843.50 = 5,843.50/x
  3. Step 3: Cross multiply
    3,506x = 5,843.50 × 5,843.50
  4. Step 4: Simplify right side
    3,506x = 34,146,492.25
  5. Step 5: Solve for x
    x = 34,146,492.25/3,506
  6. Step 6: Final answer
    x = 9,739.44

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.