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Finding the Third Proportional to 174,778 and 379,220

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Solution

The third proportional to 174,778 and 379,220 is: 822,802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,778 : 379,220 = 379,220 : x
  2. Step 2: Convert to fraction form
    174,778/379,220 = 379,220/x
  3. Step 3: Cross multiply
    174,778x = 379,220 × 379,220
  4. Step 4: Simplify right side
    174,778x = 143,807,808,400
  5. Step 5: Solve for x
    x = 143,807,808,400/174,778
  6. Step 6: Final answer
    x = 822,802.69

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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.