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Finding the Third Proportional to 177,820 and 386,166

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Solution

The third proportional to 177,820 and 386,166 is: 838,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,820 : 386,166 = 386,166 : x
  2. Step 2: Convert to fraction form
    177,820/386,166 = 386,166/x
  3. Step 3: Cross multiply
    177,820x = 386,166 × 386,166
  4. Step 4: Simplify right side
    177,820x = 149,124,179,556
  5. Step 5: Solve for x
    x = 149,124,179,556/177,820
  6. Step 6: Final answer
    x = 838,624.34

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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.