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Finding the Third Proportional to 174,780 and 379,152

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Solution

The third proportional to 174,780 and 379,152 is: 822,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,780 : 379,152 = 379,152 : x
  2. Step 2: Convert to fraction form
    174,780/379,152 = 379,152/x
  3. Step 3: Cross multiply
    174,780x = 379,152 × 379,152
  4. Step 4: Simplify right side
    174,780x = 143,756,239,104
  5. Step 5: Solve for x
    x = 143,756,239,104/174,780
  6. Step 6: Final answer
    x = 822,498.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.