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Finding the Third Proportional to 13,420 and 21,281

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Solution

The third proportional to 13,420 and 21,281 is: 33,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420 : 21,281 = 21,281 : x
  2. Step 2: Convert to fraction form
    13,420/21,281 = 21,281/x
  3. Step 3: Cross multiply
    13,420x = 21,281 × 21,281
  4. Step 4: Simplify right side
    13,420x = 452,880,961
  5. Step 5: Solve for x
    x = 452,880,961/13,420
  6. Step 6: Final answer
    x = 33,746.72

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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.