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Finding the Third Proportional to 120,930 and 256,274

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Solution

The third proportional to 120,930 and 256,274 is: 543,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,930 : 256,274 = 256,274 : x
  2. Step 2: Convert to fraction form
    120,930/256,274 = 256,274/x
  3. Step 3: Cross multiply
    120,930x = 256,274 × 256,274
  4. Step 4: Simplify right side
    120,930x = 65,676,363,076
  5. Step 5: Solve for x
    x = 65,676,363,076/120,930
  6. Step 6: Final answer
    x = 543,094.05

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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.