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Finding the Third Proportional to 8,642 and 13,071

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Solution

The third proportional to 8,642 and 13,071 is: 19,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642 : 13,071 = 13,071 : x
  2. Step 2: Convert to fraction form
    8,642/13,071 = 13,071/x
  3. Step 3: Cross multiply
    8,642x = 13,071 × 13,071
  4. Step 4: Simplify right side
    8,642x = 170,851,041
  5. Step 5: Solve for x
    x = 170,851,041/8,642
  6. Step 6: Final answer
    x = 19,769.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.