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Finding the Third Proportional to 6,783.12 and 10,217.39

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Solution

The third proportional to 6,783.12 and 10,217.39 is: 15,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.12 : 10,217.39 = 10,217.39 : x
  2. Step 2: Convert to fraction form
    6,783.12/10,217.39 = 10,217.39/x
  3. Step 3: Cross multiply
    6,783.12x = 10,217.39 × 10,217.39
  4. Step 4: Simplify right side
    6,783.12x = 104,395,071.18
  5. Step 5: Solve for x
    x = 104,395,071.18/6,783.12
  6. Step 6: Final answer
    x = 15,390.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.