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Finding the Third Proportional to 177,630 and 387,336

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Solution

The third proportional to 177,630 and 387,336 is: 844,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,630 : 387,336 = 387,336 : x
  2. Step 2: Convert to fraction form
    177,630/387,336 = 387,336/x
  3. Step 3: Cross multiply
    177,630x = 387,336 × 387,336
  4. Step 4: Simplify right side
    177,630x = 150,029,176,896
  5. Step 5: Solve for x
    x = 150,029,176,896/177,630
  6. Step 6: Final answer
    x = 844,616.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.