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Finding the Third Proportional to 4,573.25 and 10,784.75

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Solution

The third proportional to 4,573.25 and 10,784.75 is: 25,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.25 : 10,784.75 = 10,784.75 : x
  2. Step 2: Convert to fraction form
    4,573.25/10,784.75 = 10,784.75/x
  3. Step 3: Cross multiply
    4,573.25x = 10,784.75 × 10,784.75
  4. Step 4: Simplify right side
    4,573.25x = 116,310,832.56
  5. Step 5: Solve for x
    x = 116,310,832.56/4,573.25
  6. Step 6: Final answer
    x = 25,432.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.