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Finding the Third Proportional to 168,605 and 254,021

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Solution

The third proportional to 168,605 and 254,021 is: 382,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,605 : 254,021 = 254,021 : x
  2. Step 2: Convert to fraction form
    168,605/254,021 = 254,021/x
  3. Step 3: Cross multiply
    168,605x = 254,021 × 254,021
  4. Step 4: Simplify right side
    168,605x = 64,526,668,441
  5. Step 5: Solve for x
    x = 64,526,668,441/168,605
  6. Step 6: Final answer
    x = 382,709.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.