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Finding the Third Proportional to 177,795 and 419,701.50

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Solution

The third proportional to 177,795 and 419,701.50 is: 990,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,795 : 419,701.50 = 419,701.50 : x
  2. Step 2: Convert to fraction form
    177,795/419,701.50 = 419,701.50/x
  3. Step 3: Cross multiply
    177,795x = 419,701.50 × 419,701.50
  4. Step 4: Simplify right side
    177,795x = 176,149,349,102.25
  5. Step 5: Solve for x
    x = 176,149,349,102.25/177,795
  6. Step 6: Final answer
    x = 990,744.11

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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.