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Finding the Third Proportional to 162,036 and 253,608

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Solution

The third proportional to 162,036 and 253,608 is: 396,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,036 : 253,608 = 253,608 : x
  2. Step 2: Convert to fraction form
    162,036/253,608 = 253,608/x
  3. Step 3: Cross multiply
    162,036x = 253,608 × 253,608
  4. Step 4: Simplify right side
    162,036x = 64,317,017,664
  5. Step 5: Solve for x
    x = 64,317,017,664/162,036
  6. Step 6: Final answer
    x = 396,930.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.