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Finding the Third Proportional to 94,732.03 and 204,643.97

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Solution

The third proportional to 94,732.03 and 204,643.97 is: 442,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,732.03 : 204,643.97 = 204,643.97 : x
  2. Step 2: Convert to fraction form
    94,732.03/204,643.97 = 204,643.97/x
  3. Step 3: Cross multiply
    94,732.03x = 204,643.97 × 204,643.97
  4. Step 4: Simplify right side
    94,732.03x = 41,879,153,945.75
  5. Step 5: Solve for x
    x = 41,879,153,945.75/94,732.03
  6. Step 6: Final answer
    x = 442,080.19

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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.