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Finding the Third Proportional to 13,453.50 and 26,563

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Solution

The third proportional to 13,453.50 and 26,563 is: 52,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.50 : 26,563 = 26,563 : x
  2. Step 2: Convert to fraction form
    13,453.50/26,563 = 26,563/x
  3. Step 3: Cross multiply
    13,453.50x = 26,563 × 26,563
  4. Step 4: Simplify right side
    13,453.50x = 705,592,969
  5. Step 5: Solve for x
    x = 705,592,969/13,453.50
  6. Step 6: Final answer
    x = 52,446.80

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.