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Finding the Third Proportional to 202,824 and 432,794

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Solution

The third proportional to 202,824 and 432,794 is: 923,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,824 : 432,794 = 432,794 : x
  2. Step 2: Convert to fraction form
    202,824/432,794 = 432,794/x
  3. Step 3: Cross multiply
    202,824x = 432,794 × 432,794
  4. Step 4: Simplify right side
    202,824x = 187,310,646,436
  5. Step 5: Solve for x
    x = 187,310,646,436/202,824
  6. Step 6: Final answer
    x = 923,513.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.