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Finding the Third Proportional to 162,751 and 258,980

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Solution

The third proportional to 162,751 and 258,980 is: 412,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,751 : 258,980 = 258,980 : x
  2. Step 2: Convert to fraction form
    162,751/258,980 = 258,980/x
  3. Step 3: Cross multiply
    162,751x = 258,980 × 258,980
  4. Step 4: Simplify right side
    162,751x = 67,070,640,400
  5. Step 5: Solve for x
    x = 67,070,640,400/162,751
  6. Step 6: Final answer
    x = 412,105.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.