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Finding the Third Proportional to 103,671 and 218,409

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Solution

The third proportional to 103,671 and 218,409 is: 460,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,671 : 218,409 = 218,409 : x
  2. Step 2: Convert to fraction form
    103,671/218,409 = 218,409/x
  3. Step 3: Cross multiply
    103,671x = 218,409 × 218,409
  4. Step 4: Simplify right side
    103,671x = 47,702,491,281
  5. Step 5: Solve for x
    x = 47,702,491,281/103,671
  6. Step 6: Final answer
    x = 460,133.42

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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.