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Finding the Third Proportional to 204,628 and 433,592

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Solution

The third proportional to 204,628 and 433,592 is: 918,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,628 : 433,592 = 433,592 : x
  2. Step 2: Convert to fraction form
    204,628/433,592 = 433,592/x
  3. Step 3: Cross multiply
    204,628x = 433,592 × 433,592
  4. Step 4: Simplify right side
    204,628x = 188,002,022,464
  5. Step 5: Solve for x
    x = 188,002,022,464/204,628
  6. Step 6: Final answer
    x = 918,750.23

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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.