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Finding the Third Proportional to 32,288.50 and 43,611

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Solution

The third proportional to 32,288.50 and 43,611 is: 58,903.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,288.50 : 43,611 = 43,611 : x
  2. Step 2: Convert to fraction form
    32,288.50/43,611 = 43,611/x
  3. Step 3: Cross multiply
    32,288.50x = 43,611 × 43,611
  4. Step 4: Simplify right side
    32,288.50x = 1,901,919,321
  5. Step 5: Solve for x
    x = 1,901,919,321/32,288.50
  6. Step 6: Final answer
    x = 58,903.92

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.