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Finding the Third Proportional to 162,010 and 332,036

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Solution

The third proportional to 162,010 and 332,036 is: 680,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,010 : 332,036 = 332,036 : x
  2. Step 2: Convert to fraction form
    162,010/332,036 = 332,036/x
  3. Step 3: Cross multiply
    162,010x = 332,036 × 332,036
  4. Step 4: Simplify right side
    162,010x = 110,247,905,296
  5. Step 5: Solve for x
    x = 110,247,905,296/162,010
  6. Step 6: Final answer
    x = 680,500.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.