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Finding the Third Proportional to 176,394 and 387,906

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Solution

The third proportional to 176,394 and 387,906 is: 853,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,394 : 387,906 = 387,906 : x
  2. Step 2: Convert to fraction form
    176,394/387,906 = 387,906/x
  3. Step 3: Cross multiply
    176,394x = 387,906 × 387,906
  4. Step 4: Simplify right side
    176,394x = 150,471,064,836
  5. Step 5: Solve for x
    x = 150,471,064,836/176,394
  6. Step 6: Final answer
    x = 853,039.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.