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Finding the Third Proportional to 282,129 and 382,734

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Solution

The third proportional to 282,129 and 382,734 is: 519,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,129 : 382,734 = 382,734 : x
  2. Step 2: Convert to fraction form
    282,129/382,734 = 382,734/x
  3. Step 3: Cross multiply
    282,129x = 382,734 × 382,734
  4. Step 4: Simplify right side
    282,129x = 146,485,314,756
  5. Step 5: Solve for x
    x = 146,485,314,756/282,129
  6. Step 6: Final answer
    x = 519,213.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.