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Finding the Third Proportional to 302,844 and 440,166

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Solution

The third proportional to 302,844 and 440,166 is: 639,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,844 : 440,166 = 440,166 : x
  2. Step 2: Convert to fraction form
    302,844/440,166 = 440,166/x
  3. Step 3: Cross multiply
    302,844x = 440,166 × 440,166
  4. Step 4: Simplify right side
    302,844x = 193,746,107,556
  5. Step 5: Solve for x
    x = 193,746,107,556/302,844
  6. Step 6: Final answer
    x = 639,755.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.