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Finding the Third Proportional to 148,939 and 324,086

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Solution

The third proportional to 148,939 and 324,086 is: 705,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,939 : 324,086 = 324,086 : x
  2. Step 2: Convert to fraction form
    148,939/324,086 = 324,086/x
  3. Step 3: Cross multiply
    148,939x = 324,086 × 324,086
  4. Step 4: Simplify right side
    148,939x = 105,031,735,396
  5. Step 5: Solve for x
    x = 105,031,735,396/148,939
  6. Step 6: Final answer
    x = 705,199.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.