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Finding the Third Proportional to 204,323 and 433,219

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Solution

The third proportional to 204,323 and 433,219 is: 918,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,323 : 433,219 = 433,219 : x
  2. Step 2: Convert to fraction form
    204,323/433,219 = 433,219/x
  3. Step 3: Cross multiply
    204,323x = 433,219 × 433,219
  4. Step 4: Simplify right side
    204,323x = 187,678,701,961
  5. Step 5: Solve for x
    x = 187,678,701,961/204,323
  6. Step 6: Final answer
    x = 918,539.28

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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.