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Finding the Third Proportional to 137,938 and 210,916

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Solution

The third proportional to 137,938 and 210,916 is: 322,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,938 : 210,916 = 210,916 : x
  2. Step 2: Convert to fraction form
    137,938/210,916 = 210,916/x
  3. Step 3: Cross multiply
    137,938x = 210,916 × 210,916
  4. Step 4: Simplify right side
    137,938x = 44,485,559,056
  5. Step 5: Solve for x
    x = 44,485,559,056/137,938
  6. Step 6: Final answer
    x = 322,504.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.