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Finding the Third Proportional to 200,689.31 and 275,197.50

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Solution

The third proportional to 200,689.31 and 275,197.50 is: 377,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,689.31 : 275,197.50 = 275,197.50 : x
  2. Step 2: Convert to fraction form
    200,689.31/275,197.50 = 275,197.50/x
  3. Step 3: Cross multiply
    200,689.31x = 275,197.50 × 275,197.50
  4. Step 4: Simplify right side
    200,689.31x = 75,733,664,006.25
  5. Step 5: Solve for x
    x = 75,733,664,006.25/200,689.31
  6. Step 6: Final answer
    x = 377,367.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.