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Finding the Third Proportional to 204,824 and 317,892

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Solution

The third proportional to 204,824 and 317,892 is: 493,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,824 : 317,892 = 317,892 : x
  2. Step 2: Convert to fraction form
    204,824/317,892 = 317,892/x
  3. Step 3: Cross multiply
    204,824x = 317,892 × 317,892
  4. Step 4: Simplify right side
    204,824x = 101,055,323,664
  5. Step 5: Solve for x
    x = 101,055,323,664/204,824
  6. Step 6: Final answer
    x = 493,376.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.