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Finding the Third Proportional to 75,816 and 177,120

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Solution

The third proportional to 75,816 and 177,120 is: 413,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,816 : 177,120 = 177,120 : x
  2. Step 2: Convert to fraction form
    75,816/177,120 = 177,120/x
  3. Step 3: Cross multiply
    75,816x = 177,120 × 177,120
  4. Step 4: Simplify right side
    75,816x = 31,371,494,400
  5. Step 5: Solve for x
    x = 31,371,494,400/75,816
  6. Step 6: Final answer
    x = 413,784.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.