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Finding the Third Proportional to 177,372 and 275,388

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Solution

The third proportional to 177,372 and 275,388 is: 427,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,372 : 275,388 = 275,388 : x
  2. Step 2: Convert to fraction form
    177,372/275,388 = 275,388/x
  3. Step 3: Cross multiply
    177,372x = 275,388 × 275,388
  4. Step 4: Simplify right side
    177,372x = 75,838,550,544
  5. Step 5: Solve for x
    x = 75,838,550,544/177,372
  6. Step 6: Final answer
    x = 427,567.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.