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Finding the Third Proportional to 81,270 and 176,790

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Solution

The third proportional to 81,270 and 176,790 is: 384,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,270 : 176,790 = 176,790 : x
  2. Step 2: Convert to fraction form
    81,270/176,790 = 176,790/x
  3. Step 3: Cross multiply
    81,270x = 176,790 × 176,790
  4. Step 4: Simplify right side
    81,270x = 31,254,704,100
  5. Step 5: Solve for x
    x = 31,254,704,100/81,270
  6. Step 6: Final answer
    x = 384,578.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.