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Finding the Third Proportional to 201,322 and 438,817

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Solution

The third proportional to 201,322 and 438,817 is: 956,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,322 : 438,817 = 438,817 : x
  2. Step 2: Convert to fraction form
    201,322/438,817 = 438,817/x
  3. Step 3: Cross multiply
    201,322x = 438,817 × 438,817
  4. Step 4: Simplify right side
    201,322x = 192,560,359,489
  5. Step 5: Solve for x
    x = 192,560,359,489/201,322
  6. Step 6: Final answer
    x = 956,479.47

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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.