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Finding the Third Proportional to 13,830.75 and 32,481

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Solution

The third proportional to 13,830.75 and 32,481 is: 76,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.75 : 32,481 = 32,481 : x
  2. Step 2: Convert to fraction form
    13,830.75/32,481 = 32,481/x
  3. Step 3: Cross multiply
    13,830.75x = 32,481 × 32,481
  4. Step 4: Simplify right side
    13,830.75x = 1,055,015,361
  5. Step 5: Solve for x
    x = 1,055,015,361/13,830.75
  6. Step 6: Final answer
    x = 76,280.42

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.