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Finding the Third Proportional to 81,579 and 172,878

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Solution

The third proportional to 81,579 and 172,878 is: 366,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,579 : 172,878 = 172,878 : x
  2. Step 2: Convert to fraction form
    81,579/172,878 = 172,878/x
  3. Step 3: Cross multiply
    81,579x = 172,878 × 172,878
  4. Step 4: Simplify right side
    81,579x = 29,886,802,884
  5. Step 5: Solve for x
    x = 29,886,802,884/81,579
  6. Step 6: Final answer
    x = 366,354.12

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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.