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Finding the Third Proportional to 201,679 and 438,918

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Solution

The third proportional to 201,679 and 438,918 is: 955,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,679 : 438,918 = 438,918 : x
  2. Step 2: Convert to fraction form
    201,679/438,918 = 438,918/x
  3. Step 3: Cross multiply
    201,679x = 438,918 × 438,918
  4. Step 4: Simplify right side
    201,679x = 192,649,010,724
  5. Step 5: Solve for x
    x = 192,649,010,724/201,679
  6. Step 6: Final answer
    x = 955,225.93

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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.