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Finding the Third Proportional to 204,479 and 433,555

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Solution

The third proportional to 204,479 and 433,555 is: 919,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,479 : 433,555 = 433,555 : x
  2. Step 2: Convert to fraction form
    204,479/433,555 = 433,555/x
  3. Step 3: Cross multiply
    204,479x = 433,555 × 433,555
  4. Step 4: Simplify right side
    204,479x = 187,969,938,025
  5. Step 5: Solve for x
    x = 187,969,938,025/204,479
  6. Step 6: Final answer
    x = 919,262.80

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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.