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Finding the Third Proportional to 28,291.50 and 32,940

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Solution

The third proportional to 28,291.50 and 32,940 is: 38,352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,291.50 : 32,940 = 32,940 : x
  2. Step 2: Convert to fraction form
    28,291.50/32,940 = 32,940/x
  3. Step 3: Cross multiply
    28,291.50x = 32,940 × 32,940
  4. Step 4: Simplify right side
    28,291.50x = 1,085,043,600
  5. Step 5: Solve for x
    x = 1,085,043,600/28,291.50
  6. Step 6: Final answer
    x = 38,352.28

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.