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Finding the Third Proportional to 204,041 and 310,575

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Solution

The third proportional to 204,041 and 310,575 is: 472,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,041 : 310,575 = 310,575 : x
  2. Step 2: Convert to fraction form
    204,041/310,575 = 310,575/x
  3. Step 3: Cross multiply
    204,041x = 310,575 × 310,575
  4. Step 4: Simplify right side
    204,041x = 96,456,830,625
  5. Step 5: Solve for x
    x = 96,456,830,625/204,041
  6. Step 6: Final answer
    x = 472,732.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.