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Finding the Third Proportional to 6,389.13 and 9,786.25

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Solution

The third proportional to 6,389.13 and 9,786.25 is: 14,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.13 : 9,786.25 = 9,786.25 : x
  2. Step 2: Convert to fraction form
    6,389.13/9,786.25 = 9,786.25/x
  3. Step 3: Cross multiply
    6,389.13x = 9,786.25 × 9,786.25
  4. Step 4: Simplify right side
    6,389.13x = 95,770,689.06
  5. Step 5: Solve for x
    x = 95,770,689.06/6,389.13
  6. Step 6: Final answer
    x = 14,989.64

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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.