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Finding the Third Proportional to 200,682 and 438,678

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Solution

The third proportional to 200,682 and 438,678 is: 958,922.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,682 : 438,678 = 438,678 : x
  2. Step 2: Convert to fraction form
    200,682/438,678 = 438,678/x
  3. Step 3: Cross multiply
    200,682x = 438,678 × 438,678
  4. Step 4: Simplify right side
    200,682x = 192,438,387,684
  5. Step 5: Solve for x
    x = 192,438,387,684/200,682
  6. Step 6: Final answer
    x = 958,922.01

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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.