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Finding the Third Proportional to 137,648 and 203,912

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Solution

The third proportional to 137,648 and 203,912 is: 302,075.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,648 : 203,912 = 203,912 : x
  2. Step 2: Convert to fraction form
    137,648/203,912 = 203,912/x
  3. Step 3: Cross multiply
    137,648x = 203,912 × 203,912
  4. Step 4: Simplify right side
    137,648x = 41,580,103,744
  5. Step 5: Solve for x
    x = 41,580,103,744/137,648
  6. Step 6: Final answer
    x = 302,075.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.