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Finding the Third Proportional to 262,428.19 and 393,553.69

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Solution

The third proportional to 262,428.19 and 393,553.69 is: 590,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,428.19 : 393,553.69 = 393,553.69 : x
  2. Step 2: Convert to fraction form
    262,428.19/393,553.69 = 393,553.69/x
  3. Step 3: Cross multiply
    262,428.19x = 393,553.69 × 393,553.69
  4. Step 4: Simplify right side
    262,428.19x = 154,884,504,944.85
  5. Step 5: Solve for x
    x = 154,884,504,944.85/262,428.19
  6. Step 6: Final answer
    x = 590,197.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.