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Finding the Third Proportional to 154,731 and 329,694

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Solution

The third proportional to 154,731 and 329,694 is: 702,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,731 : 329,694 = 329,694 : x
  2. Step 2: Convert to fraction form
    154,731/329,694 = 329,694/x
  3. Step 3: Cross multiply
    154,731x = 329,694 × 329,694
  4. Step 4: Simplify right side
    154,731x = 108,698,133,636
  5. Step 5: Solve for x
    x = 108,698,133,636/154,731
  6. Step 6: Final answer
    x = 702,497.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.