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Finding the Third Proportional to 81,190 and 175,304

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Solution

The third proportional to 81,190 and 175,304 is: 378,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,190 : 175,304 = 175,304 : x
  2. Step 2: Convert to fraction form
    81,190/175,304 = 175,304/x
  3. Step 3: Cross multiply
    81,190x = 175,304 × 175,304
  4. Step 4: Simplify right side
    81,190x = 30,731,492,416
  5. Step 5: Solve for x
    x = 30,731,492,416/81,190
  6. Step 6: Final answer
    x = 378,513.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.