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Finding the Third Proportional to 103,629 and 215,048

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Solution

The third proportional to 103,629 and 215,048 is: 446,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,629 : 215,048 = 215,048 : x
  2. Step 2: Convert to fraction form
    103,629/215,048 = 215,048/x
  3. Step 3: Cross multiply
    103,629x = 215,048 × 215,048
  4. Step 4: Simplify right side
    103,629x = 46,245,642,304
  5. Step 5: Solve for x
    x = 46,245,642,304/103,629
  6. Step 6: Final answer
    x = 446,261.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.