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Finding the Third Proportional to 81,690 and 175,894

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Solution

The third proportional to 81,690 and 175,894 is: 378,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,690 : 175,894 = 175,894 : x
  2. Step 2: Convert to fraction form
    81,690/175,894 = 175,894/x
  3. Step 3: Cross multiply
    81,690x = 175,894 × 175,894
  4. Step 4: Simplify right side
    81,690x = 30,938,699,236
  5. Step 5: Solve for x
    x = 30,938,699,236/81,690
  6. Step 6: Final answer
    x = 378,733.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.