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Finding the Third Proportional to 421,014.75 and 644,151.38

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Solution

The third proportional to 421,014.75 and 644,151.38 is: 985,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,014.75 : 644,151.38 = 644,151.38 : x
  2. Step 2: Convert to fraction form
    421,014.75/644,151.38 = 644,151.38/x
  3. Step 3: Cross multiply
    421,014.75x = 644,151.38 × 644,151.38
  4. Step 4: Simplify right side
    421,014.75x = 414,930,993,914.39
  5. Step 5: Solve for x
    x = 414,930,993,914.39/421,014.75
  6. Step 6: Final answer
    x = 985,549.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.