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Finding the Third Proportional to 158,373 and 329,805

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Solution

The third proportional to 158,373 and 329,805 is: 686,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,373 : 329,805 = 329,805 : x
  2. Step 2: Convert to fraction form
    158,373/329,805 = 329,805/x
  3. Step 3: Cross multiply
    158,373x = 329,805 × 329,805
  4. Step 4: Simplify right side
    158,373x = 108,771,338,025
  5. Step 5: Solve for x
    x = 108,771,338,025/158,373
  6. Step 6: Final answer
    x = 686,804.81

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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.