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Finding the Third Proportional to 177,690 and 419,464

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Solution

The third proportional to 177,690 and 419,464 is: 990,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,690 : 419,464 = 419,464 : x
  2. Step 2: Convert to fraction form
    177,690/419,464 = 419,464/x
  3. Step 3: Cross multiply
    177,690x = 419,464 × 419,464
  4. Step 4: Simplify right side
    177,690x = 175,950,047,296
  5. Step 5: Solve for x
    x = 175,950,047,296/177,690
  6. Step 6: Final answer
    x = 990,207.93

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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.