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Finding the Third Proportional to 17,966.81 and 21,999.09

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Solution

The third proportional to 17,966.81 and 21,999.09 is: 26,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966.81 : 21,999.09 = 21,999.09 : x
  2. Step 2: Convert to fraction form
    17,966.81/21,999.09 = 21,999.09/x
  3. Step 3: Cross multiply
    17,966.81x = 21,999.09 × 21,999.09
  4. Step 4: Simplify right side
    17,966.81x = 483,960,125.82
  5. Step 5: Solve for x
    x = 483,960,125.82/17,966.81
  6. Step 6: Final answer
    x = 26,936.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.