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Finding the Third Proportional to 201,656 and 438,874

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Solution

The third proportional to 201,656 and 438,874 is: 955,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,656 : 438,874 = 438,874 : x
  2. Step 2: Convert to fraction form
    201,656/438,874 = 438,874/x
  3. Step 3: Cross multiply
    201,656x = 438,874 × 438,874
  4. Step 4: Simplify right side
    201,656x = 192,610,387,876
  5. Step 5: Solve for x
    x = 192,610,387,876/201,656
  6. Step 6: Final answer
    x = 955,143.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.