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Finding the Third Proportional to 200,028 and 427,704

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Solution

The third proportional to 200,028 and 427,704 is: 914,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,028 : 427,704 = 427,704 : x
  2. Step 2: Convert to fraction form
    200,028/427,704 = 427,704/x
  3. Step 3: Cross multiply
    200,028x = 427,704 × 427,704
  4. Step 4: Simplify right side
    200,028x = 182,930,711,616
  5. Step 5: Solve for x
    x = 182,930,711,616/200,028
  6. Step 6: Final answer
    x = 914,525.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.