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Finding the Third Proportional to 303,043 and 637,406

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Solution

The third proportional to 303,043 and 637,406 is: 1,340,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,043 : 637,406 = 637,406 : x
  2. Step 2: Convert to fraction form
    303,043/637,406 = 637,406/x
  3. Step 3: Cross multiply
    303,043x = 637,406 × 637,406
  4. Step 4: Simplify right side
    303,043x = 406,286,408,836
  5. Step 5: Solve for x
    x = 406,286,408,836/303,043
  6. Step 6: Final answer
    x = 1,340,688.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.