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Finding the Third Proportional to 119,956 and 256,521

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Solution

The third proportional to 119,956 and 256,521 is: 548,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,956 : 256,521 = 256,521 : x
  2. Step 2: Convert to fraction form
    119,956/256,521 = 256,521/x
  3. Step 3: Cross multiply
    119,956x = 256,521 × 256,521
  4. Step 4: Simplify right side
    119,956x = 65,803,023,441
  5. Step 5: Solve for x
    x = 65,803,023,441/119,956
  6. Step 6: Final answer
    x = 548,559.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.