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Finding the Third Proportional to 13,583 and 20,465

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Solution

The third proportional to 13,583 and 20,465 is: 30,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583 : 20,465 = 20,465 : x
  2. Step 2: Convert to fraction form
    13,583/20,465 = 20,465/x
  3. Step 3: Cross multiply
    13,583x = 20,465 × 20,465
  4. Step 4: Simplify right side
    13,583x = 418,816,225
  5. Step 5: Solve for x
    x = 418,816,225/13,583
  6. Step 6: Final answer
    x = 30,833.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.