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Finding the Third Proportional to 127,453.50 and 260,435.25

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Solution

The third proportional to 127,453.50 and 260,435.25 is: 532,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,453.50 : 260,435.25 = 260,435.25 : x
  2. Step 2: Convert to fraction form
    127,453.50/260,435.25 = 260,435.25/x
  3. Step 3: Cross multiply
    127,453.50x = 260,435.25 × 260,435.25
  4. Step 4: Simplify right side
    127,453.50x = 67,826,519,442.56
  5. Step 5: Solve for x
    x = 67,826,519,442.56/127,453.50
  6. Step 6: Final answer
    x = 532,166.79

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.