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Finding the Third Proportional to 103,686 and 215,160

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Solution

The third proportional to 103,686 and 215,160 is: 446,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,686 : 215,160 = 215,160 : x
  2. Step 2: Convert to fraction form
    103,686/215,160 = 215,160/x
  3. Step 3: Cross multiply
    103,686x = 215,160 × 215,160
  4. Step 4: Simplify right side
    103,686x = 46,293,825,600
  5. Step 5: Solve for x
    x = 46,293,825,600/103,686
  6. Step 6: Final answer
    x = 446,480.97

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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.