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Finding the Third Proportional to 103,815.75 and 163,101

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Solution

The third proportional to 103,815.75 and 163,101 is: 256,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,815.75 : 163,101 = 163,101 : x
  2. Step 2: Convert to fraction form
    103,815.75/163,101 = 163,101/x
  3. Step 3: Cross multiply
    103,815.75x = 163,101 × 163,101
  4. Step 4: Simplify right side
    103,815.75x = 26,601,936,201
  5. Step 5: Solve for x
    x = 26,601,936,201/103,815.75
  6. Step 6: Final answer
    x = 256,241.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.