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Finding the Third Proportional to 6,999.75 and 10,645.88

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Solution

The third proportional to 6,999.75 and 10,645.88 is: 16,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.75 : 10,645.88 = 10,645.88 : x
  2. Step 2: Convert to fraction form
    6,999.75/10,645.88 = 10,645.88/x
  3. Step 3: Cross multiply
    6,999.75x = 10,645.88 × 10,645.88
  4. Step 4: Simplify right side
    6,999.75x = 113,334,654.52
  5. Step 5: Solve for x
    x = 113,334,654.52/6,999.75
  6. Step 6: Final answer
    x = 16,191.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.