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Finding the Third Proportional to 170,889 and 258,879

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Solution

The third proportional to 170,889 and 258,879 is: 392,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,889 : 258,879 = 258,879 : x
  2. Step 2: Convert to fraction form
    170,889/258,879 = 258,879/x
  3. Step 3: Cross multiply
    170,889x = 258,879 × 258,879
  4. Step 4: Simplify right side
    170,889x = 67,018,336,641
  5. Step 5: Solve for x
    x = 67,018,336,641/170,889
  6. Step 6: Final answer
    x = 392,174.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.