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Finding the Third Proportional to 200,520 and 445,871

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Solution

The third proportional to 200,520 and 445,871 is: 991,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,520 : 445,871 = 445,871 : x
  2. Step 2: Convert to fraction form
    200,520/445,871 = 445,871/x
  3. Step 3: Cross multiply
    200,520x = 445,871 × 445,871
  4. Step 4: Simplify right side
    200,520x = 198,800,948,641
  5. Step 5: Solve for x
    x = 198,800,948,641/200,520
  6. Step 6: Final answer
    x = 991,427.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.