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Finding the Third Proportional to 12,969 and 21,235

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Solution

The third proportional to 12,969 and 21,235 is: 34,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969 : 21,235 = 21,235 : x
  2. Step 2: Convert to fraction form
    12,969/21,235 = 21,235/x
  3. Step 3: Cross multiply
    12,969x = 21,235 × 21,235
  4. Step 4: Simplify right side
    12,969x = 450,925,225
  5. Step 5: Solve for x
    x = 450,925,225/12,969
  6. Step 6: Final answer
    x = 34,769.47

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.