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Finding the Third Proportional to 103,977 and 224,586

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Solution

The third proportional to 103,977 and 224,586 is: 485,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,977 : 224,586 = 224,586 : x
  2. Step 2: Convert to fraction form
    103,977/224,586 = 224,586/x
  3. Step 3: Cross multiply
    103,977x = 224,586 × 224,586
  4. Step 4: Simplify right side
    103,977x = 50,438,871,396
  5. Step 5: Solve for x
    x = 50,438,871,396/103,977
  6. Step 6: Final answer
    x = 485,096.43

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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.