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Finding the Third Proportional to 200,406.50 and 440,893.63

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Solution

The third proportional to 200,406.50 and 440,893.63 is: 969,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406.50 : 440,893.63 = 440,893.63 : x
  2. Step 2: Convert to fraction form
    200,406.50/440,893.63 = 440,893.63/x
  3. Step 3: Cross multiply
    200,406.50x = 440,893.63 × 440,893.63
  4. Step 4: Simplify right side
    200,406.50x = 194,387,188,565.64
  5. Step 5: Solve for x
    x = 194,387,188,565.64/200,406.50
  6. Step 6: Final answer
    x = 969,964.49

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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.