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Finding the Third Proportional to 13,685.84 and 20,528.75

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Solution

The third proportional to 13,685.84 and 20,528.75 is: 30,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.84 : 20,528.75 = 20,528.75 : x
  2. Step 2: Convert to fraction form
    13,685.84/20,528.75 = 20,528.75/x
  3. Step 3: Cross multiply
    13,685.84x = 20,528.75 × 20,528.75
  4. Step 4: Simplify right side
    13,685.84x = 421,429,736.94
  5. Step 5: Solve for x
    x = 421,429,736.94/13,685.84
  6. Step 6: Final answer
    x = 30,793.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.