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Finding the Third Proportional to 6,520.50 and 15,212.81

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Solution

The third proportional to 6,520.50 and 15,212.81 is: 35,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.50 : 15,212.81 = 15,212.81 : x
  2. Step 2: Convert to fraction form
    6,520.50/15,212.81 = 15,212.81/x
  3. Step 3: Cross multiply
    6,520.50x = 15,212.81 × 15,212.81
  4. Step 4: Simplify right side
    6,520.50x = 231,429,664.16
  5. Step 5: Solve for x
    x = 231,429,664.16/6,520.50
  6. Step 6: Final answer
    x = 35,492.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.