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Finding the Third Proportional to 200,512.69 and 417,611.81

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Solution

The third proportional to 200,512.69 and 417,611.81 is: 869,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,512.69 : 417,611.81 = 417,611.81 : x
  2. Step 2: Convert to fraction form
    200,512.69/417,611.81 = 417,611.81/x
  3. Step 3: Cross multiply
    200,512.69x = 417,611.81 × 417,611.81
  4. Step 4: Simplify right side
    200,512.69x = 174,399,625,939.54
  5. Step 5: Solve for x
    x = 174,399,625,939.54/200,512.69
  6. Step 6: Final answer
    x = 869,768.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.