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Finding the Third Proportional to 94,844.75 and 198,457.75

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Solution

The third proportional to 94,844.75 and 198,457.75 is: 415,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,844.75 : 198,457.75 = 198,457.75 : x
  2. Step 2: Convert to fraction form
    94,844.75/198,457.75 = 198,457.75/x
  3. Step 3: Cross multiply
    94,844.75x = 198,457.75 × 198,457.75
  4. Step 4: Simplify right side
    94,844.75x = 39,385,478,535.06
  5. Step 5: Solve for x
    x = 39,385,478,535.06/94,844.75
  6. Step 6: Final answer
    x = 415,262.61

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.