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Finding the Third Proportional to 178,999 and 386,015

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Solution

The third proportional to 178,999 and 386,015 is: 832,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,999 : 386,015 = 386,015 : x
  2. Step 2: Convert to fraction form
    178,999/386,015 = 386,015/x
  3. Step 3: Cross multiply
    178,999x = 386,015 × 386,015
  4. Step 4: Simplify right side
    178,999x = 149,007,580,225
  5. Step 5: Solve for x
    x = 149,007,580,225/178,999
  6. Step 6: Final answer
    x = 832,449.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.