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Finding the Third Proportional to 94,522 and 204,561

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Solution

The third proportional to 94,522 and 204,561 is: 442,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,522 : 204,561 = 204,561 : x
  2. Step 2: Convert to fraction form
    94,522/204,561 = 204,561/x
  3. Step 3: Cross multiply
    94,522x = 204,561 × 204,561
  4. Step 4: Simplify right side
    94,522x = 41,845,202,721
  5. Step 5: Solve for x
    x = 41,845,202,721/94,522
  6. Step 6: Final answer
    x = 442,703.31

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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.