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Finding the Third Proportional to 137,954 and 256,216

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Solution

The third proportional to 137,954 and 256,216 is: 475,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,954 : 256,216 = 256,216 : x
  2. Step 2: Convert to fraction form
    137,954/256,216 = 256,216/x
  3. Step 3: Cross multiply
    137,954x = 256,216 × 256,216
  4. Step 4: Simplify right side
    137,954x = 65,646,638,656
  5. Step 5: Solve for x
    x = 65,646,638,656/137,954
  6. Step 6: Final answer
    x = 475,858.90

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.