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Finding the Third Proportional to 3,573.75 and 7,580.25

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Solution

The third proportional to 3,573.75 and 7,580.25 is: 16,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.75 : 7,580.25 = 7,580.25 : x
  2. Step 2: Convert to fraction form
    3,573.75/7,580.25 = 7,580.25/x
  3. Step 3: Cross multiply
    3,573.75x = 7,580.25 × 7,580.25
  4. Step 4: Simplify right side
    3,573.75x = 57,460,190.06
  5. Step 5: Solve for x
    x = 57,460,190.06/3,573.75
  6. Step 6: Final answer
    x = 16,078.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.