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Finding the Third Proportional to 81,372 and 167,968

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Solution

The third proportional to 81,372 and 167,968 is: 346,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,372 : 167,968 = 167,968 : x
  2. Step 2: Convert to fraction form
    81,372/167,968 = 167,968/x
  3. Step 3: Cross multiply
    81,372x = 167,968 × 167,968
  4. Step 4: Simplify right side
    81,372x = 28,213,249,024
  5. Step 5: Solve for x
    x = 28,213,249,024/81,372
  6. Step 6: Final answer
    x = 346,719.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.