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Finding the Third Proportional to 94,694 and 204,076

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Solution

The third proportional to 94,694 and 204,076 is: 439,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,694 : 204,076 = 204,076 : x
  2. Step 2: Convert to fraction form
    94,694/204,076 = 204,076/x
  3. Step 3: Cross multiply
    94,694x = 204,076 × 204,076
  4. Step 4: Simplify right side
    94,694x = 41,647,013,776
  5. Step 5: Solve for x
    x = 41,647,013,776/94,694
  6. Step 6: Final answer
    x = 439,806.26

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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.