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Finding the Third Proportional to 5,240.81 and 7,980.75

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Solution

The third proportional to 5,240.81 and 7,980.75 is: 12,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.81 : 7,980.75 = 7,980.75 : x
  2. Step 2: Convert to fraction form
    5,240.81/7,980.75 = 7,980.75/x
  3. Step 3: Cross multiply
    5,240.81x = 7,980.75 × 7,980.75
  4. Step 4: Simplify right side
    5,240.81x = 63,692,370.56
  5. Step 5: Solve for x
    x = 63,692,370.56/5,240.81
  6. Step 6: Final answer
    x = 12,153.15

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Why These Related Problems?

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