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Finding the Third Proportional to 79,905 and 177,545

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Solution

The third proportional to 79,905 and 177,545 is: 394,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,905 : 177,545 = 177,545 : x
  2. Step 2: Convert to fraction form
    79,905/177,545 = 177,545/x
  3. Step 3: Cross multiply
    79,905x = 177,545 × 177,545
  4. Step 4: Simplify right side
    79,905x = 31,522,227,025
  5. Step 5: Solve for x
    x = 31,522,227,025/79,905
  6. Step 6: Final answer
    x = 394,496.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.