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Finding the Third Proportional to 201,324 and 438,828

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Solution

The third proportional to 201,324 and 438,828 is: 956,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,324 : 438,828 = 438,828 : x
  2. Step 2: Convert to fraction form
    201,324/438,828 = 438,828/x
  3. Step 3: Cross multiply
    201,324x = 438,828 × 438,828
  4. Step 4: Simplify right side
    201,324x = 192,570,013,584
  5. Step 5: Solve for x
    x = 192,570,013,584/201,324
  6. Step 6: Final answer
    x = 956,517.92

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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.