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Finding the Third Proportional to 204,040 and 293,852

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Solution

The third proportional to 204,040 and 293,852 is: 423,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,040 : 293,852 = 293,852 : x
  2. Step 2: Convert to fraction form
    204,040/293,852 = 293,852/x
  3. Step 3: Cross multiply
    204,040x = 293,852 × 293,852
  4. Step 4: Simplify right side
    204,040x = 86,348,997,904
  5. Step 5: Solve for x
    x = 86,348,997,904/204,040
  6. Step 6: Final answer
    x = 423,196.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.