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Finding the Third Proportional to 6,190.80 and 7,130.53

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Solution

The third proportional to 6,190.80 and 7,130.53 is: 8,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.80 : 7,130.53 = 7,130.53 : x
  2. Step 2: Convert to fraction form
    6,190.80/7,130.53 = 7,130.53/x
  3. Step 3: Cross multiply
    6,190.80x = 7,130.53 × 7,130.53
  4. Step 4: Simplify right side
    6,190.80x = 50,844,475.91
  5. Step 5: Solve for x
    x = 50,844,475.91/6,190.80
  6. Step 6: Final answer
    x = 8,212.90

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.