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Finding the Third Proportional to 103,910 and 223,713

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Solution

The third proportional to 103,910 and 223,713 is: 481,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,910 : 223,713 = 223,713 : x
  2. Step 2: Convert to fraction form
    103,910/223,713 = 223,713/x
  3. Step 3: Cross multiply
    103,910x = 223,713 × 223,713
  4. Step 4: Simplify right side
    103,910x = 50,047,506,369
  5. Step 5: Solve for x
    x = 50,047,506,369/103,910
  6. Step 6: Final answer
    x = 481,642.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.