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Finding the Third Proportional to 201,723 and 438,931

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Solution

The third proportional to 201,723 and 438,931 is: 955,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,723 : 438,931 = 438,931 : x
  2. Step 2: Convert to fraction form
    201,723/438,931 = 438,931/x
  3. Step 3: Cross multiply
    201,723x = 438,931 × 438,931
  4. Step 4: Simplify right side
    201,723x = 192,660,422,761
  5. Step 5: Solve for x
    x = 192,660,422,761/201,723
  6. Step 6: Final answer
    x = 955,074.15

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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.