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Finding the Third Proportional to 94,671 and 204,104.25

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Solution

The third proportional to 94,671 and 204,104.25 is: 440,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,671 : 204,104.25 = 204,104.25 : x
  2. Step 2: Convert to fraction form
    94,671/204,104.25 = 204,104.25/x
  3. Step 3: Cross multiply
    94,671x = 204,104.25 × 204,104.25
  4. Step 4: Simplify right side
    94,671x = 41,658,544,868.06
  5. Step 5: Solve for x
    x = 41,658,544,868.06/94,671
  6. Step 6: Final answer
    x = 440,034.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.