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Finding the Third Proportional to 201,023 and 422,748

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Solution

The third proportional to 201,023 and 422,748 is: 889,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,023 : 422,748 = 422,748 : x
  2. Step 2: Convert to fraction form
    201,023/422,748 = 422,748/x
  3. Step 3: Cross multiply
    201,023x = 422,748 × 422,748
  4. Step 4: Simplify right side
    201,023x = 178,715,871,504
  5. Step 5: Solve for x
    x = 178,715,871,504/201,023
  6. Step 6: Final answer
    x = 889,031.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.