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Finding the Third Proportional to 120,670 and 265,131

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Solution

The third proportional to 120,670 and 265,131 is: 582,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,670 : 265,131 = 265,131 : x
  2. Step 2: Convert to fraction form
    120,670/265,131 = 265,131/x
  3. Step 3: Cross multiply
    120,670x = 265,131 × 265,131
  4. Step 4: Simplify right side
    120,670x = 70,294,447,161
  5. Step 5: Solve for x
    x = 70,294,447,161/120,670
  6. Step 6: Final answer
    x = 582,534.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.