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Finding the Third Proportional to 200,684 and 438,682

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Solution

The third proportional to 200,684 and 438,682 is: 958,929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,684 : 438,682 = 438,682 : x
  2. Step 2: Convert to fraction form
    200,684/438,682 = 438,682/x
  3. Step 3: Cross multiply
    200,684x = 438,682 × 438,682
  4. Step 4: Simplify right side
    200,684x = 192,441,897,124
  5. Step 5: Solve for x
    x = 192,441,897,124/200,684
  6. Step 6: Final answer
    x = 958,929.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.