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Finding the Third Proportional to 81,075 and 172,674

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Solution

The third proportional to 81,075 and 172,674 is: 367,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,075 : 172,674 = 172,674 : x
  2. Step 2: Convert to fraction form
    81,075/172,674 = 172,674/x
  3. Step 3: Cross multiply
    81,075x = 172,674 × 172,674
  4. Step 4: Simplify right side
    81,075x = 29,816,310,276
  5. Step 5: Solve for x
    x = 29,816,310,276/81,075
  6. Step 6: Final answer
    x = 367,762.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.