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Finding the Third Proportional to 122,172 and 259,788

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Solution

The third proportional to 122,172 and 259,788 is: 552,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,172 : 259,788 = 259,788 : x
  2. Step 2: Convert to fraction form
    122,172/259,788 = 259,788/x
  3. Step 3: Cross multiply
    122,172x = 259,788 × 259,788
  4. Step 4: Simplify right side
    122,172x = 67,489,804,944
  5. Step 5: Solve for x
    x = 67,489,804,944/122,172
  6. Step 6: Final answer
    x = 552,416.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.