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Finding the Third Proportional to 120,956 and 256,312

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Solution

The third proportional to 120,956 and 256,312 is: 543,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,956 : 256,312 = 256,312 : x
  2. Step 2: Convert to fraction form
    120,956/256,312 = 256,312/x
  3. Step 3: Cross multiply
    120,956x = 256,312 × 256,312
  4. Step 4: Simplify right side
    120,956x = 65,695,841,344
  5. Step 5: Solve for x
    x = 65,695,841,344/120,956
  6. Step 6: Final answer
    x = 543,138.34

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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.