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Finding the Third Proportional to 122,355 and 181,257

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Solution

The third proportional to 122,355 and 181,257 is: 268,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,355 : 181,257 = 181,257 : x
  2. Step 2: Convert to fraction form
    122,355/181,257 = 181,257/x
  3. Step 3: Cross multiply
    122,355x = 181,257 × 181,257
  4. Step 4: Simplify right side
    122,355x = 32,854,100,049
  5. Step 5: Solve for x
    x = 32,854,100,049/122,355
  6. Step 6: Final answer
    x = 268,514.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.