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Finding the Third Proportional to 262,308.75 and 398,592.75

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Solution

The third proportional to 262,308.75 and 398,592.75 is: 605,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,308.75 : 398,592.75 = 398,592.75 : x
  2. Step 2: Convert to fraction form
    262,308.75/398,592.75 = 398,592.75/x
  3. Step 3: Cross multiply
    262,308.75x = 398,592.75 × 398,592.75
  4. Step 4: Simplify right side
    262,308.75x = 158,876,180,352.56
  5. Step 5: Solve for x
    x = 158,876,180,352.56/262,308.75
  6. Step 6: Final answer
    x = 605,683.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.