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Finding the Third Proportional to 204,642 and 433,620

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Solution

The third proportional to 204,642 and 433,620 is: 918,806.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,642 : 433,620 = 433,620 : x
  2. Step 2: Convert to fraction form
    204,642/433,620 = 433,620/x
  3. Step 3: Cross multiply
    204,642x = 433,620 × 433,620
  4. Step 4: Simplify right side
    204,642x = 188,026,304,400
  5. Step 5: Solve for x
    x = 188,026,304,400/204,642
  6. Step 6: Final answer
    x = 918,806.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.