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Finding the Third Proportional to 303,058 and 637,436

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Solution

The third proportional to 303,058 and 637,436 is: 1,340,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,058 : 637,436 = 637,436 : x
  2. Step 2: Convert to fraction form
    303,058/637,436 = 637,436/x
  3. Step 3: Cross multiply
    303,058x = 637,436 × 637,436
  4. Step 4: Simplify right side
    303,058x = 406,324,654,096
  5. Step 5: Solve for x
    x = 406,324,654,096/303,058
  6. Step 6: Final answer
    x = 1,340,748.81

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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.