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Finding the Third Proportional to 8,046 and 13,713.75

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Solution

The third proportional to 8,046 and 13,713.75 is: 23,373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046 : 13,713.75 = 13,713.75 : x
  2. Step 2: Convert to fraction form
    8,046/13,713.75 = 13,713.75/x
  3. Step 3: Cross multiply
    8,046x = 13,713.75 × 13,713.75
  4. Step 4: Simplify right side
    8,046x = 188,066,939.06
  5. Step 5: Solve for x
    x = 188,066,939.06/8,046
  6. Step 6: Final answer
    x = 23,373.97

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.