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Finding the Third Proportional to 33,303 and 43,311.75

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Solution

The third proportional to 33,303 and 43,311.75 is: 56,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,303 : 43,311.75 = 43,311.75 : x
  2. Step 2: Convert to fraction form
    33,303/43,311.75 = 43,311.75/x
  3. Step 3: Cross multiply
    33,303x = 43,311.75 × 43,311.75
  4. Step 4: Simplify right side
    33,303x = 1,875,907,688.06
  5. Step 5: Solve for x
    x = 1,875,907,688.06/33,303
  6. Step 6: Final answer
    x = 56,328.49

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.