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Finding the Third Proportional to 13,529.53 and 21,253.64

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Solution

The third proportional to 13,529.53 and 21,253.64 is: 33,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529.53 : 21,253.64 = 21,253.64 : x
  2. Step 2: Convert to fraction form
    13,529.53/21,253.64 = 21,253.64/x
  3. Step 3: Cross multiply
    13,529.53x = 21,253.64 × 21,253.64
  4. Step 4: Simplify right side
    13,529.53x = 451,717,239.82
  5. Step 5: Solve for x
    x = 451,717,239.82/13,529.53
  6. Step 6: Final answer
    x = 33,387.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.