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Finding the Third Proportional to 63,536.50 and 133,625

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Solution

The third proportional to 63,536.50 and 133,625 is: 281,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,536.50 : 133,625 = 133,625 : x
  2. Step 2: Convert to fraction form
    63,536.50/133,625 = 133,625/x
  3. Step 3: Cross multiply
    63,536.50x = 133,625 × 133,625
  4. Step 4: Simplify right side
    63,536.50x = 17,855,640,625
  5. Step 5: Solve for x
    x = 17,855,640,625/63,536.50
  6. Step 6: Final answer
    x = 281,029.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.