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Finding the Third Proportional to 93,575.25 and 122,046.75

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Solution

The third proportional to 93,575.25 and 122,046.75 is: 159,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,575.25 : 122,046.75 = 122,046.75 : x
  2. Step 2: Convert to fraction form
    93,575.25/122,046.75 = 122,046.75/x
  3. Step 3: Cross multiply
    93,575.25x = 122,046.75 × 122,046.75
  4. Step 4: Simplify right side
    93,575.25x = 14,895,409,185.56
  5. Step 5: Solve for x
    x = 14,895,409,185.56/93,575.25
  6. Step 6: Final answer
    x = 159,181.08

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.