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Finding the Third Proportional to 15,680 and 33,464

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Solution

The third proportional to 15,680 and 33,464 is: 71,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,680 : 33,464 = 33,464 : x
  2. Step 2: Convert to fraction form
    15,680/33,464 = 33,464/x
  3. Step 3: Cross multiply
    15,680x = 33,464 × 33,464
  4. Step 4: Simplify right side
    15,680x = 1,119,839,296
  5. Step 5: Solve for x
    x = 1,119,839,296/15,680
  6. Step 6: Final answer
    x = 71,418.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.