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Finding the Third Proportional to 169,504 and 258,816

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Solution

The third proportional to 169,504 and 258,816 is: 395,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,504 : 258,816 = 258,816 : x
  2. Step 2: Convert to fraction form
    169,504/258,816 = 258,816/x
  3. Step 3: Cross multiply
    169,504x = 258,816 × 258,816
  4. Step 4: Simplify right side
    169,504x = 66,985,721,856
  5. Step 5: Solve for x
    x = 66,985,721,856/169,504
  6. Step 6: Final answer
    x = 395,186.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.