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Finding the Third Proportional to 158,378 and 329,815

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Solution

The third proportional to 158,378 and 329,815 is: 686,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,378 : 329,815 = 329,815 : x
  2. Step 2: Convert to fraction form
    158,378/329,815 = 329,815/x
  3. Step 3: Cross multiply
    158,378x = 329,815 × 329,815
  4. Step 4: Simplify right side
    158,378x = 108,777,934,225
  5. Step 5: Solve for x
    x = 108,777,934,225/158,378
  6. Step 6: Final answer
    x = 686,824.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.