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Finding the Third Proportional to 103,690 and 218,446

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Solution

The third proportional to 103,690 and 218,446 is: 460,204.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690 : 218,446 = 218,446 : x
  2. Step 2: Convert to fraction form
    103,690/218,446 = 218,446/x
  3. Step 3: Cross multiply
    103,690x = 218,446 × 218,446
  4. Step 4: Simplify right side
    103,690x = 47,718,654,916
  5. Step 5: Solve for x
    x = 47,718,654,916/103,690
  6. Step 6: Final answer
    x = 460,204.99

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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.