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Finding the Third Proportional to 13,207 and 21,026

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Solution

The third proportional to 13,207 and 21,026 is: 33,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207 : 21,026 = 21,026 : x
  2. Step 2: Convert to fraction form
    13,207/21,026 = 21,026/x
  3. Step 3: Cross multiply
    13,207x = 21,026 × 21,026
  4. Step 4: Simplify right side
    13,207x = 442,092,676
  5. Step 5: Solve for x
    x = 442,092,676/13,207
  6. Step 6: Final answer
    x = 33,474.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.