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Finding the Third Proportional to 63,504 and 129,912

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Solution

The third proportional to 63,504 and 129,912 is: 265,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,504 : 129,912 = 129,912 : x
  2. Step 2: Convert to fraction form
    63,504/129,912 = 129,912/x
  3. Step 3: Cross multiply
    63,504x = 129,912 × 129,912
  4. Step 4: Simplify right side
    63,504x = 16,877,127,744
  5. Step 5: Solve for x
    x = 16,877,127,744/63,504
  6. Step 6: Final answer
    x = 265,764.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.