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Finding the Third Proportional to 273,037.50 and 427,380

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Solution

The third proportional to 273,037.50 and 427,380 is: 668,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,037.50 : 427,380 = 427,380 : x
  2. Step 2: Convert to fraction form
    273,037.50/427,380 = 427,380/x
  3. Step 3: Cross multiply
    273,037.50x = 427,380 × 427,380
  4. Step 4: Simplify right side
    273,037.50x = 182,653,664,400
  5. Step 5: Solve for x
    x = 182,653,664,400/273,037.50
  6. Step 6: Final answer
    x = 668,969.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.