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Finding the Third Proportional to 120,227 and 257,131

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Solution

The third proportional to 120,227 and 257,131 is: 549,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,227 : 257,131 = 257,131 : x
  2. Step 2: Convert to fraction form
    120,227/257,131 = 257,131/x
  3. Step 3: Cross multiply
    120,227x = 257,131 × 257,131
  4. Step 4: Simplify right side
    120,227x = 66,116,351,161
  5. Step 5: Solve for x
    x = 66,116,351,161/120,227
  6. Step 6: Final answer
    x = 549,929.31

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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.