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Finding the Third Proportional to 6,685.03 and 10,228.78

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Solution

The third proportional to 6,685.03 and 10,228.78 is: 15,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.03 : 10,228.78 = 10,228.78 : x
  2. Step 2: Convert to fraction form
    6,685.03/10,228.78 = 10,228.78/x
  3. Step 3: Cross multiply
    6,685.03x = 10,228.78 × 10,228.78
  4. Step 4: Simplify right side
    6,685.03x = 104,627,965.86
  5. Step 5: Solve for x
    x = 104,627,965.86/6,685.03
  6. Step 6: Final answer
    x = 15,651.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.