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Finding the Third Proportional to 6,999.75 and 12,308.63

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Solution

The third proportional to 6,999.75 and 12,308.63 is: 21,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.75 : 12,308.63 = 12,308.63 : x
  2. Step 2: Convert to fraction form
    6,999.75/12,308.63 = 12,308.63/x
  3. Step 3: Cross multiply
    6,999.75x = 12,308.63 × 12,308.63
  4. Step 4: Simplify right side
    6,999.75x = 151,502,249.39
  5. Step 5: Solve for x
    x = 151,502,249.39/6,999.75
  6. Step 6: Final answer
    x = 21,643.95

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.