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Finding the Third Proportional to 137,986 and 256,288

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Solution

The third proportional to 137,986 and 256,288 is: 476,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,986 : 256,288 = 256,288 : x
  2. Step 2: Convert to fraction form
    137,986/256,288 = 256,288/x
  3. Step 3: Cross multiply
    137,986x = 256,288 × 256,288
  4. Step 4: Simplify right side
    137,986x = 65,683,538,944
  5. Step 5: Solve for x
    x = 65,683,538,944/137,986
  6. Step 6: Final answer
    x = 476,015.96

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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.