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Finding the Third Proportional to 13,590 and 27,563.63

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Solution

The third proportional to 13,590 and 27,563.63 is: 55,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590 : 27,563.63 = 27,563.63 : x
  2. Step 2: Convert to fraction form
    13,590/27,563.63 = 27,563.63/x
  3. Step 3: Cross multiply
    13,590x = 27,563.63 × 27,563.63
  4. Step 4: Simplify right side
    13,590x = 759,753,423.14
  5. Step 5: Solve for x
    x = 759,753,423.14/13,590
  6. Step 6: Final answer
    x = 55,905.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.