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Finding the Third Proportional to 152,686 and 332,477

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Solution

The third proportional to 152,686 and 332,477 is: 723,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,686 : 332,477 = 332,477 : x
  2. Step 2: Convert to fraction form
    152,686/332,477 = 332,477/x
  3. Step 3: Cross multiply
    152,686x = 332,477 × 332,477
  4. Step 4: Simplify right side
    152,686x = 110,540,955,529
  5. Step 5: Solve for x
    x = 110,540,955,529/152,686
  6. Step 6: Final answer
    x = 723,975.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.