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Finding the Third Proportional to 108,680 and 224,344

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Solution

The third proportional to 108,680 and 224,344 is: 463,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,680 : 224,344 = 224,344 : x
  2. Step 2: Convert to fraction form
    108,680/224,344 = 224,344/x
  3. Step 3: Cross multiply
    108,680x = 224,344 × 224,344
  4. Step 4: Simplify right side
    108,680x = 50,330,230,336
  5. Step 5: Solve for x
    x = 50,330,230,336/108,680
  6. Step 6: Final answer
    x = 463,104.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.