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Finding the Third Proportional to 177,160 and 387,544

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Solution

The third proportional to 177,160 and 387,544 is: 847,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,160 : 387,544 = 387,544 : x
  2. Step 2: Convert to fraction form
    177,160/387,544 = 387,544/x
  3. Step 3: Cross multiply
    177,160x = 387,544 × 387,544
  4. Step 4: Simplify right side
    177,160x = 150,190,351,936
  5. Step 5: Solve for x
    x = 150,190,351,936/177,160
  6. Step 6: Final answer
    x = 847,766.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.