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Finding the Third Proportional to 6,682.50 and 7,360.88

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Solution

The third proportional to 6,682.50 and 7,360.88 is: 8,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.50 : 7,360.88 = 7,360.88 : x
  2. Step 2: Convert to fraction form
    6,682.50/7,360.88 = 7,360.88/x
  3. Step 3: Cross multiply
    6,682.50x = 7,360.88 × 7,360.88
  4. Step 4: Simplify right side
    6,682.50x = 54,182,480.77
  5. Step 5: Solve for x
    x = 54,182,480.77/6,682.50
  6. Step 6: Final answer
    x = 8,108.12

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.