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Finding the Third Proportional to 289,682 and 614,356

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Solution

The third proportional to 289,682 and 614,356 is: 1,302,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,682 : 614,356 = 614,356 : x
  2. Step 2: Convert to fraction form
    289,682/614,356 = 614,356/x
  3. Step 3: Cross multiply
    289,682x = 614,356 × 614,356
  4. Step 4: Simplify right side
    289,682x = 377,433,294,736
  5. Step 5: Solve for x
    x = 377,433,294,736/289,682
  6. Step 6: Final answer
    x = 1,302,922.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.