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Finding the Third Proportional to 200,973 and 442,427

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Solution

The third proportional to 200,973 and 442,427 is: 973,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,973 : 442,427 = 442,427 : x
  2. Step 2: Convert to fraction form
    200,973/442,427 = 442,427/x
  3. Step 3: Cross multiply
    200,973x = 442,427 × 442,427
  4. Step 4: Simplify right side
    200,973x = 195,741,650,329
  5. Step 5: Solve for x
    x = 195,741,650,329/200,973
  6. Step 6: Final answer
    x = 973,969.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.