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Finding the Third Proportional to 122,156 and 270,556

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Solution

The third proportional to 122,156 and 270,556 is: 599,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,156 : 270,556 = 270,556 : x
  2. Step 2: Convert to fraction form
    122,156/270,556 = 270,556/x
  3. Step 3: Cross multiply
    122,156x = 270,556 × 270,556
  4. Step 4: Simplify right side
    122,156x = 73,200,549,136
  5. Step 5: Solve for x
    x = 73,200,549,136/122,156
  6. Step 6: Final answer
    x = 599,238.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.