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Finding the Third Proportional to 81,579 and 119,673

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Solution

The third proportional to 81,579 and 119,673 is: 175,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,579 : 119,673 = 119,673 : x
  2. Step 2: Convert to fraction form
    81,579/119,673 = 119,673/x
  3. Step 3: Cross multiply
    81,579x = 119,673 × 119,673
  4. Step 4: Simplify right side
    81,579x = 14,321,626,929
  5. Step 5: Solve for x
    x = 14,321,626,929/81,579
  6. Step 6: Final answer
    x = 175,555.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.