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Finding the Third Proportional to 9,265.50 and 21,435.75

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Solution

The third proportional to 9,265.50 and 21,435.75 is: 49,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.50 : 21,435.75 = 21,435.75 : x
  2. Step 2: Convert to fraction form
    9,265.50/21,435.75 = 21,435.75/x
  3. Step 3: Cross multiply
    9,265.50x = 21,435.75 × 21,435.75
  4. Step 4: Simplify right side
    9,265.50x = 459,491,378.06
  5. Step 5: Solve for x
    x = 459,491,378.06/9,265.50
  6. Step 6: Final answer
    x = 49,591.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.