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Finding the Third Proportional to 81,592 and 172,984

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Solution

The third proportional to 81,592 and 172,984 is: 366,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,592 : 172,984 = 172,984 : x
  2. Step 2: Convert to fraction form
    81,592/172,984 = 172,984/x
  3. Step 3: Cross multiply
    81,592x = 172,984 × 172,984
  4. Step 4: Simplify right side
    81,592x = 29,923,464,256
  5. Step 5: Solve for x
    x = 29,923,464,256/81,592
  6. Step 6: Final answer
    x = 366,745.08

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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.