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Finding the Third Proportional to 282,638 and 614,356

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Solution

The third proportional to 282,638 and 614,356 is: 1,335,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,638 : 614,356 = 614,356 : x
  2. Step 2: Convert to fraction form
    282,638/614,356 = 614,356/x
  3. Step 3: Cross multiply
    282,638x = 614,356 × 614,356
  4. Step 4: Simplify right side
    282,638x = 377,433,294,736
  5. Step 5: Solve for x
    x = 377,433,294,736/282,638
  6. Step 6: Final answer
    x = 1,335,394.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.