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Finding the Third Proportional to 438,135 and 946,182

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Solution

The third proportional to 438,135 and 946,182 is: 2,043,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,135 : 946,182 = 946,182 : x
  2. Step 2: Convert to fraction form
    438,135/946,182 = 946,182/x
  3. Step 3: Cross multiply
    438,135x = 946,182 × 946,182
  4. Step 4: Simplify right side
    438,135x = 895,260,377,124
  5. Step 5: Solve for x
    x = 895,260,377,124/438,135
  6. Step 6: Final answer
    x = 2,043,343.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.