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Finding the Third Proportional to 103,629 and 230,739

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Solution

The third proportional to 103,629 and 230,739 is: 513,760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,629 : 230,739 = 230,739 : x
  2. Step 2: Convert to fraction form
    103,629/230,739 = 230,739/x
  3. Step 3: Cross multiply
    103,629x = 230,739 × 230,739
  4. Step 4: Simplify right side
    103,629x = 53,240,486,121
  5. Step 5: Solve for x
    x = 53,240,486,121/103,629
  6. Step 6: Final answer
    x = 513,760.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.