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Finding the Third Proportional to 120,208 and 257,093

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Solution

The third proportional to 120,208 and 257,093 is: 549,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,208 : 257,093 = 257,093 : x
  2. Step 2: Convert to fraction form
    120,208/257,093 = 257,093/x
  3. Step 3: Cross multiply
    120,208x = 257,093 × 257,093
  4. Step 4: Simplify right side
    120,208x = 66,096,810,649
  5. Step 5: Solve for x
    x = 66,096,810,649/120,208
  6. Step 6: Final answer
    x = 549,853.68

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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.