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Finding the Third Proportional to 81,590 and 172,980

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Solution

The third proportional to 81,590 and 172,980 is: 366,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,590 : 172,980 = 172,980 : x
  2. Step 2: Convert to fraction form
    81,590/172,980 = 172,980/x
  3. Step 3: Cross multiply
    81,590x = 172,980 × 172,980
  4. Step 4: Simplify right side
    81,590x = 29,922,080,400
  5. Step 5: Solve for x
    x = 29,922,080,400/81,590
  6. Step 6: Final answer
    x = 366,737.11

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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.