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Finding the Third Proportional to 12,822.75 and 17,421.75

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Solution

The third proportional to 12,822.75 and 17,421.75 is: 23,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.75 : 17,421.75 = 17,421.75 : x
  2. Step 2: Convert to fraction form
    12,822.75/17,421.75 = 17,421.75/x
  3. Step 3: Cross multiply
    12,822.75x = 17,421.75 × 17,421.75
  4. Step 4: Simplify right side
    12,822.75x = 303,517,373.06
  5. Step 5: Solve for x
    x = 303,517,373.06/12,822.75
  6. Step 6: Final answer
    x = 23,670.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.