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Finding the Third Proportional to 13,769.63 and 20,783.63

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Solution

The third proportional to 13,769.63 and 20,783.63 is: 31,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.63 : 20,783.63 = 20,783.63 : x
  2. Step 2: Convert to fraction form
    13,769.63/20,783.63 = 20,783.63/x
  3. Step 3: Cross multiply
    13,769.63x = 20,783.63 × 20,783.63
  4. Step 4: Simplify right side
    13,769.63x = 431,959,068.14
  5. Step 5: Solve for x
    x = 431,959,068.14/13,769.63
  6. Step 6: Final answer
    x = 31,370.43

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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.