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Finding the Third Proportional to 6,682.50 and 14,260.11

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Solution

The third proportional to 6,682.50 and 14,260.11 is: 30,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.50 : 14,260.11 = 14,260.11 : x
  2. Step 2: Convert to fraction form
    6,682.50/14,260.11 = 14,260.11/x
  3. Step 3: Cross multiply
    6,682.50x = 14,260.11 × 14,260.11
  4. Step 4: Simplify right side
    6,682.50x = 203,350,830.79
  5. Step 5: Solve for x
    x = 203,350,830.79/6,682.50
  6. Step 6: Final answer
    x = 30,430.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.