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Finding the Third Proportional to 128,827 and 178,010

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Solution

The third proportional to 128,827 and 178,010 is: 245,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,827 : 178,010 = 178,010 : x
  2. Step 2: Convert to fraction form
    128,827/178,010 = 178,010/x
  3. Step 3: Cross multiply
    128,827x = 178,010 × 178,010
  4. Step 4: Simplify right side
    128,827x = 31,687,560,100
  5. Step 5: Solve for x
    x = 31,687,560,100/128,827
  6. Step 6: Final answer
    x = 245,969.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.