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Finding the Third Proportional to 3,670.50 and 7,938.75

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Solution

The third proportional to 3,670.50 and 7,938.75 is: 17,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.50 : 7,938.75 = 7,938.75 : x
  2. Step 2: Convert to fraction form
    3,670.50/7,938.75 = 7,938.75/x
  3. Step 3: Cross multiply
    3,670.50x = 7,938.75 × 7,938.75
  4. Step 4: Simplify right side
    3,670.50x = 63,023,751.56
  5. Step 5: Solve for x
    x = 63,023,751.56/3,670.50
  6. Step 6: Final answer
    x = 17,170.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.