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Finding the Third Proportional to 177,816 and 419,730

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Solution

The third proportional to 177,816 and 419,730 is: 990,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,816 : 419,730 = 419,730 : x
  2. Step 2: Convert to fraction form
    177,816/419,730 = 419,730/x
  3. Step 3: Cross multiply
    177,816x = 419,730 × 419,730
  4. Step 4: Simplify right side
    177,816x = 176,173,272,900
  5. Step 5: Solve for x
    x = 176,173,272,900/177,816
  6. Step 6: Final answer
    x = 990,761.65

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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.