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Finding the Third Proportional to 80,690 and 175,396

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Solution

The third proportional to 80,690 and 175,396 is: 381,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,690 : 175,396 = 175,396 : x
  2. Step 2: Convert to fraction form
    80,690/175,396 = 175,396/x
  3. Step 3: Cross multiply
    80,690x = 175,396 × 175,396
  4. Step 4: Simplify right side
    80,690x = 30,763,756,816
  5. Step 5: Solve for x
    x = 30,763,756,816/80,690
  6. Step 6: Final answer
    x = 381,258.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.