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Finding the Third Proportional to 177,822 and 386,170

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Solution

The third proportional to 177,822 and 386,170 is: 838,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,822 : 386,170 = 386,170 : x
  2. Step 2: Convert to fraction form
    177,822/386,170 = 386,170/x
  3. Step 3: Cross multiply
    177,822x = 386,170 × 386,170
  4. Step 4: Simplify right side
    177,822x = 149,127,268,900
  5. Step 5: Solve for x
    x = 149,127,268,900/177,822
  6. Step 6: Final answer
    x = 838,632.28

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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.