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Finding the Third Proportional to 137,472 and 204,912

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Solution

The third proportional to 137,472 and 204,912 is: 305,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,472 : 204,912 = 204,912 : x
  2. Step 2: Convert to fraction form
    137,472/204,912 = 204,912/x
  3. Step 3: Cross multiply
    137,472x = 204,912 × 204,912
  4. Step 4: Simplify right side
    137,472x = 41,988,927,744
  5. Step 5: Solve for x
    x = 41,988,927,744/137,472
  6. Step 6: Final answer
    x = 305,436.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.