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Finding the Third Proportional to 81,576 and 172,944

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Solution

The third proportional to 81,576 and 172,944 is: 366,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,576 : 172,944 = 172,944 : x
  2. Step 2: Convert to fraction form
    81,576/172,944 = 172,944/x
  3. Step 3: Cross multiply
    81,576x = 172,944 × 172,944
  4. Step 4: Simplify right side
    81,576x = 29,909,627,136
  5. Step 5: Solve for x
    x = 29,909,627,136/81,576
  6. Step 6: Final answer
    x = 366,647.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.