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Finding the Third Proportional to 120,932 and 256,278

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Solution

The third proportional to 120,932 and 256,278 is: 543,102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,932 : 256,278 = 256,278 : x
  2. Step 2: Convert to fraction form
    120,932/256,278 = 256,278/x
  3. Step 3: Cross multiply
    120,932x = 256,278 × 256,278
  4. Step 4: Simplify right side
    120,932x = 65,678,413,284
  5. Step 5: Solve for x
    x = 65,678,413,284/120,932
  6. Step 6: Final answer
    x = 543,102.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.