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Finding the Third Proportional to 303,438 and 662,172

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Solution

The third proportional to 303,438 and 662,172 is: 1,445,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,438 : 662,172 = 662,172 : x
  2. Step 2: Convert to fraction form
    303,438/662,172 = 662,172/x
  3. Step 3: Cross multiply
    303,438x = 662,172 × 662,172
  4. Step 4: Simplify right side
    303,438x = 438,471,757,584
  5. Step 5: Solve for x
    x = 438,471,757,584/303,438
  6. Step 6: Final answer
    x = 1,445,012.68

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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.