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Finding the Third Proportional to 204,481 and 433,559

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Solution

The third proportional to 204,481 and 433,559 is: 919,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,481 : 433,559 = 433,559 : x
  2. Step 2: Convert to fraction form
    204,481/433,559 = 433,559/x
  3. Step 3: Cross multiply
    204,481x = 433,559 × 433,559
  4. Step 4: Simplify right side
    204,481x = 187,973,406,481
  5. Step 5: Solve for x
    x = 187,973,406,481/204,481
  6. Step 6: Final answer
    x = 919,270.77

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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.