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Finding the Third Proportional to 81,405 and 177,633

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Solution

The third proportional to 81,405 and 177,633 is: 387,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405 : 177,633 = 177,633 : x
  2. Step 2: Convert to fraction form
    81,405/177,633 = 177,633/x
  3. Step 3: Cross multiply
    81,405x = 177,633 × 177,633
  4. Step 4: Simplify right side
    81,405x = 31,553,482,689
  5. Step 5: Solve for x
    x = 31,553,482,689/81,405
  6. Step 6: Final answer
    x = 387,611.11

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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.