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Finding the Third Proportional to 200,153 and 439,671.50

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Solution

The third proportional to 200,153 and 439,671.50 is: 965,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,153 : 439,671.50 = 439,671.50 : x
  2. Step 2: Convert to fraction form
    200,153/439,671.50 = 439,671.50/x
  3. Step 3: Cross multiply
    200,153x = 439,671.50 × 439,671.50
  4. Step 4: Simplify right side
    200,153x = 193,311,027,912.25
  5. Step 5: Solve for x
    x = 193,311,027,912.25/200,153
  6. Step 6: Final answer
    x = 965,816.29

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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.