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Finding the Third Proportional to 81,590 and 172,968

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Solution

The third proportional to 81,590 and 172,968 is: 366,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,590 : 172,968 = 172,968 : x
  2. Step 2: Convert to fraction form
    81,590/172,968 = 172,968/x
  3. Step 3: Cross multiply
    81,590x = 172,968 × 172,968
  4. Step 4: Simplify right side
    81,590x = 29,917,929,024
  5. Step 5: Solve for x
    x = 29,917,929,024/81,590
  6. Step 6: Final answer
    x = 366,686.22

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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.