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Finding the Third Proportional to 177,708 and 419,511

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Solution

The third proportional to 177,708 and 419,511 is: 990,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,708 : 419,511 = 419,511 : x
  2. Step 2: Convert to fraction form
    177,708/419,511 = 419,511/x
  3. Step 3: Cross multiply
    177,708x = 419,511 × 419,511
  4. Step 4: Simplify right side
    177,708x = 175,989,479,121
  5. Step 5: Solve for x
    x = 175,989,479,121/177,708
  6. Step 6: Final answer
    x = 990,329.52

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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.