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Finding the Third Proportional to 13,478 and 21,207

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Solution

The third proportional to 13,478 and 21,207 is: 33,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478 : 21,207 = 21,207 : x
  2. Step 2: Convert to fraction form
    13,478/21,207 = 21,207/x
  3. Step 3: Cross multiply
    13,478x = 21,207 × 21,207
  4. Step 4: Simplify right side
    13,478x = 449,736,849
  5. Step 5: Solve for x
    x = 449,736,849/13,478
  6. Step 6: Final answer
    x = 33,368.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.