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Finding the Third Proportional to 6,191.23 and 9,405.28

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Solution

The third proportional to 6,191.23 and 9,405.28 is: 14,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.23 : 9,405.28 = 9,405.28 : x
  2. Step 2: Convert to fraction form
    6,191.23/9,405.28 = 9,405.28/x
  3. Step 3: Cross multiply
    6,191.23x = 9,405.28 × 9,405.28
  4. Step 4: Simplify right side
    6,191.23x = 88,459,315.39
  5. Step 5: Solve for x
    x = 88,459,315.39/6,191.23
  6. Step 6: Final answer
    x = 14,287.85

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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.