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Finding the Third Proportional to 103,699 and 218,463

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Solution

The third proportional to 103,699 and 218,463 is: 460,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,699 : 218,463 = 218,463 : x
  2. Step 2: Convert to fraction form
    103,699/218,463 = 218,463/x
  3. Step 3: Cross multiply
    103,699x = 218,463 × 218,463
  4. Step 4: Simplify right side
    103,699x = 47,726,082,369
  5. Step 5: Solve for x
    x = 47,726,082,369/103,699
  6. Step 6: Final answer
    x = 460,236.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.