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Finding the Third Proportional to 177,810 and 419,735

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Solution

The third proportional to 177,810 and 419,735 is: 990,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,810 : 419,735 = 419,735 : x
  2. Step 2: Convert to fraction form
    177,810/419,735 = 419,735/x
  3. Step 3: Cross multiply
    177,810x = 419,735 × 419,735
  4. Step 4: Simplify right side
    177,810x = 176,177,470,225
  5. Step 5: Solve for x
    x = 176,177,470,225/177,810
  6. Step 6: Final answer
    x = 990,818.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.