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Finding the Third Proportional to 177,489 and 386,076

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Solution

The third proportional to 177,489 and 386,076 is: 839,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,489 : 386,076 = 386,076 : x
  2. Step 2: Convert to fraction form
    177,489/386,076 = 386,076/x
  3. Step 3: Cross multiply
    177,489x = 386,076 × 386,076
  4. Step 4: Simplify right side
    177,489x = 149,054,677,776
  5. Step 5: Solve for x
    x = 149,054,677,776/177,489
  6. Step 6: Final answer
    x = 839,796.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.