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Finding the Third Proportional to 15,680 and 21,504

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Solution

The third proportional to 15,680 and 21,504 is: 29,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,680 : 21,504 = 21,504 : x
  2. Step 2: Convert to fraction form
    15,680/21,504 = 21,504/x
  3. Step 3: Cross multiply
    15,680x = 21,504 × 21,504
  4. Step 4: Simplify right side
    15,680x = 462,422,016
  5. Step 5: Solve for x
    x = 462,422,016/15,680
  6. Step 6: Final answer
    x = 29,491.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.